Circuit complexity for free fermion with a mass quench
By using a recent approach proposed by Hackl et al. to evaluate the complexity of the free fermionic Gaussian state, we compute the complexity of the Dirac vacuum state of the Fermi system with a mass quench. First of all, we review the counting method given by Hackl et al., and demonstrate that the...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Jiang, Jie [verfasserIn] |
|---|
| Format: |
E-Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2020transfer abstract |
|---|
| Übergeordnetes Werk: |
Enthalten in: Alkaline cleaning of ultra-high temperature dairy fouling in a laminar flow regime - Schnöing, L. ELSEVIER, 2021, journal devoted to the experimental and theoretical study of the fundamental constituents of matter and their interactions, Amsterdam |
|---|---|
| Übergeordnetes Werk: |
volume:954 ; year:2020 ; pages:0 |
| Links: |
|---|
| DOI / URN: |
10.1016/j.nuclphysb.2020.114988 |
|---|
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ELV050052594 |
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| 520 | |a By using a recent approach proposed by Hackl et al. to evaluate the complexity of the free fermionic Gaussian state, we compute the complexity of the Dirac vacuum state of the Fermi system with a mass quench. First of all, we review the counting method given by Hackl et al., and demonstrate that the result can be adapted to all of the compact transformation group G. Then, we utilize this result to study the time evolution of the complexity of these states. We show that, for the rotational invariant reference state, the total complexity of the incoming vacuum state will saturate the value of the instantaneous vacuum state at the late times, with a typical timescale to achieve the final stable state. Moreover, we find that the complexity growth under the sudden quench is directly proportional to the mass difference. And all of the results show some similar behaviors with the circuit complexity of Thermofield double states. | ||
| 520 | |a By using a recent approach proposed by Hackl et al. to evaluate the complexity of the free fermionic Gaussian state, we compute the complexity of the Dirac vacuum state of the Fermi system with a mass quench. First of all, we review the counting method given by Hackl et al., and demonstrate that the result can be adapted to all of the compact transformation group G. Then, we utilize this result to study the time evolution of the complexity of these states. We show that, for the rotational invariant reference state, the total complexity of the incoming vacuum state will saturate the value of the instantaneous vacuum state at the late times, with a typical timescale to achieve the final stable state. Moreover, we find that the complexity growth under the sudden quench is directly proportional to the mass difference. And all of the results show some similar behaviors with the circuit complexity of Thermofield double states. | ||
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10.1016/j.nuclphysb.2020.114988 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000000982.pica (DE-627)ELV050052594 (ELSEVIER)S0550-3213(20)30074-2 DE-627 ger DE-627 rakwb eng 630 640 VZ 58.34 bkl 48.61 bkl Jiang, Jie verfasserin aut Circuit complexity for free fermion with a mass quench 2020transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier By using a recent approach proposed by Hackl et al. to evaluate the complexity of the free fermionic Gaussian state, we compute the complexity of the Dirac vacuum state of the Fermi system with a mass quench. First of all, we review the counting method given by Hackl et al., and demonstrate that the result can be adapted to all of the compact transformation group G. Then, we utilize this result to study the time evolution of the complexity of these states. We show that, for the rotational invariant reference state, the total complexity of the incoming vacuum state will saturate the value of the instantaneous vacuum state at the late times, with a typical timescale to achieve the final stable state. Moreover, we find that the complexity growth under the sudden quench is directly proportional to the mass difference. And all of the results show some similar behaviors with the circuit complexity of Thermofield double states. By using a recent approach proposed by Hackl et al. to evaluate the complexity of the free fermionic Gaussian state, we compute the complexity of the Dirac vacuum state of the Fermi system with a mass quench. First of all, we review the counting method given by Hackl et al., and demonstrate that the result can be adapted to all of the compact transformation group G. Then, we utilize this result to study the time evolution of the complexity of these states. We show that, for the rotational invariant reference state, the total complexity of the incoming vacuum state will saturate the value of the instantaneous vacuum state at the late times, with a typical timescale to achieve the final stable state. Moreover, we find that the complexity growth under the sudden quench is directly proportional to the mass difference. And all of the results show some similar behaviors with the circuit complexity of Thermofield double states. Shan, Jieru oth Yang, Jian-Zhi oth Enthalten in North-Holland Publ. Co Schnöing, L. ELSEVIER Alkaline cleaning of ultra-high temperature dairy fouling in a laminar flow regime 2021 journal devoted to the experimental and theoretical study of the fundamental constituents of matter and their interactions Amsterdam (DE-627)ELV005740207 volume:954 year:2020 pages:0 https://doi.org/10.1016/j.nuclphysb.2020.114988 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 58.34 Lebensmitteltechnologie VZ 48.61 Tierernährung Tierfutter VZ AR 954 2020 0 |
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10.1016/j.nuclphysb.2020.114988 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000000982.pica (DE-627)ELV050052594 (ELSEVIER)S0550-3213(20)30074-2 DE-627 ger DE-627 rakwb eng 630 640 VZ 58.34 bkl 48.61 bkl Jiang, Jie verfasserin aut Circuit complexity for free fermion with a mass quench 2020transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier By using a recent approach proposed by Hackl et al. to evaluate the complexity of the free fermionic Gaussian state, we compute the complexity of the Dirac vacuum state of the Fermi system with a mass quench. First of all, we review the counting method given by Hackl et al., and demonstrate that the result can be adapted to all of the compact transformation group G. Then, we utilize this result to study the time evolution of the complexity of these states. We show that, for the rotational invariant reference state, the total complexity of the incoming vacuum state will saturate the value of the instantaneous vacuum state at the late times, with a typical timescale to achieve the final stable state. Moreover, we find that the complexity growth under the sudden quench is directly proportional to the mass difference. And all of the results show some similar behaviors with the circuit complexity of Thermofield double states. By using a recent approach proposed by Hackl et al. to evaluate the complexity of the free fermionic Gaussian state, we compute the complexity of the Dirac vacuum state of the Fermi system with a mass quench. First of all, we review the counting method given by Hackl et al., and demonstrate that the result can be adapted to all of the compact transformation group G. Then, we utilize this result to study the time evolution of the complexity of these states. We show that, for the rotational invariant reference state, the total complexity of the incoming vacuum state will saturate the value of the instantaneous vacuum state at the late times, with a typical timescale to achieve the final stable state. Moreover, we find that the complexity growth under the sudden quench is directly proportional to the mass difference. And all of the results show some similar behaviors with the circuit complexity of Thermofield double states. Shan, Jieru oth Yang, Jian-Zhi oth Enthalten in North-Holland Publ. Co Schnöing, L. ELSEVIER Alkaline cleaning of ultra-high temperature dairy fouling in a laminar flow regime 2021 journal devoted to the experimental and theoretical study of the fundamental constituents of matter and their interactions Amsterdam (DE-627)ELV005740207 volume:954 year:2020 pages:0 https://doi.org/10.1016/j.nuclphysb.2020.114988 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 58.34 Lebensmitteltechnologie VZ 48.61 Tierernährung Tierfutter VZ AR 954 2020 0 |
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10.1016/j.nuclphysb.2020.114988 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000000982.pica (DE-627)ELV050052594 (ELSEVIER)S0550-3213(20)30074-2 DE-627 ger DE-627 rakwb eng 630 640 VZ 58.34 bkl 48.61 bkl Jiang, Jie verfasserin aut Circuit complexity for free fermion with a mass quench 2020transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier By using a recent approach proposed by Hackl et al. to evaluate the complexity of the free fermionic Gaussian state, we compute the complexity of the Dirac vacuum state of the Fermi system with a mass quench. First of all, we review the counting method given by Hackl et al., and demonstrate that the result can be adapted to all of the compact transformation group G. Then, we utilize this result to study the time evolution of the complexity of these states. We show that, for the rotational invariant reference state, the total complexity of the incoming vacuum state will saturate the value of the instantaneous vacuum state at the late times, with a typical timescale to achieve the final stable state. Moreover, we find that the complexity growth under the sudden quench is directly proportional to the mass difference. And all of the results show some similar behaviors with the circuit complexity of Thermofield double states. By using a recent approach proposed by Hackl et al. to evaluate the complexity of the free fermionic Gaussian state, we compute the complexity of the Dirac vacuum state of the Fermi system with a mass quench. First of all, we review the counting method given by Hackl et al., and demonstrate that the result can be adapted to all of the compact transformation group G. Then, we utilize this result to study the time evolution of the complexity of these states. We show that, for the rotational invariant reference state, the total complexity of the incoming vacuum state will saturate the value of the instantaneous vacuum state at the late times, with a typical timescale to achieve the final stable state. Moreover, we find that the complexity growth under the sudden quench is directly proportional to the mass difference. And all of the results show some similar behaviors with the circuit complexity of Thermofield double states. Shan, Jieru oth Yang, Jian-Zhi oth Enthalten in North-Holland Publ. Co Schnöing, L. ELSEVIER Alkaline cleaning of ultra-high temperature dairy fouling in a laminar flow regime 2021 journal devoted to the experimental and theoretical study of the fundamental constituents of matter and their interactions Amsterdam (DE-627)ELV005740207 volume:954 year:2020 pages:0 https://doi.org/10.1016/j.nuclphysb.2020.114988 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 58.34 Lebensmitteltechnologie VZ 48.61 Tierernährung Tierfutter VZ AR 954 2020 0 |
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10.1016/j.nuclphysb.2020.114988 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000000982.pica (DE-627)ELV050052594 (ELSEVIER)S0550-3213(20)30074-2 DE-627 ger DE-627 rakwb eng 630 640 VZ 58.34 bkl 48.61 bkl Jiang, Jie verfasserin aut Circuit complexity for free fermion with a mass quench 2020transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier By using a recent approach proposed by Hackl et al. to evaluate the complexity of the free fermionic Gaussian state, we compute the complexity of the Dirac vacuum state of the Fermi system with a mass quench. First of all, we review the counting method given by Hackl et al., and demonstrate that the result can be adapted to all of the compact transformation group G. Then, we utilize this result to study the time evolution of the complexity of these states. We show that, for the rotational invariant reference state, the total complexity of the incoming vacuum state will saturate the value of the instantaneous vacuum state at the late times, with a typical timescale to achieve the final stable state. Moreover, we find that the complexity growth under the sudden quench is directly proportional to the mass difference. And all of the results show some similar behaviors with the circuit complexity of Thermofield double states. By using a recent approach proposed by Hackl et al. to evaluate the complexity of the free fermionic Gaussian state, we compute the complexity of the Dirac vacuum state of the Fermi system with a mass quench. First of all, we review the counting method given by Hackl et al., and demonstrate that the result can be adapted to all of the compact transformation group G. Then, we utilize this result to study the time evolution of the complexity of these states. We show that, for the rotational invariant reference state, the total complexity of the incoming vacuum state will saturate the value of the instantaneous vacuum state at the late times, with a typical timescale to achieve the final stable state. Moreover, we find that the complexity growth under the sudden quench is directly proportional to the mass difference. And all of the results show some similar behaviors with the circuit complexity of Thermofield double states. Shan, Jieru oth Yang, Jian-Zhi oth Enthalten in North-Holland Publ. Co Schnöing, L. ELSEVIER Alkaline cleaning of ultra-high temperature dairy fouling in a laminar flow regime 2021 journal devoted to the experimental and theoretical study of the fundamental constituents of matter and their interactions Amsterdam (DE-627)ELV005740207 volume:954 year:2020 pages:0 https://doi.org/10.1016/j.nuclphysb.2020.114988 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 58.34 Lebensmitteltechnologie VZ 48.61 Tierernährung Tierfutter VZ AR 954 2020 0 |
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10.1016/j.nuclphysb.2020.114988 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000000982.pica (DE-627)ELV050052594 (ELSEVIER)S0550-3213(20)30074-2 DE-627 ger DE-627 rakwb eng 630 640 VZ 58.34 bkl 48.61 bkl Jiang, Jie verfasserin aut Circuit complexity for free fermion with a mass quench 2020transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier By using a recent approach proposed by Hackl et al. to evaluate the complexity of the free fermionic Gaussian state, we compute the complexity of the Dirac vacuum state of the Fermi system with a mass quench. First of all, we review the counting method given by Hackl et al., and demonstrate that the result can be adapted to all of the compact transformation group G. Then, we utilize this result to study the time evolution of the complexity of these states. We show that, for the rotational invariant reference state, the total complexity of the incoming vacuum state will saturate the value of the instantaneous vacuum state at the late times, with a typical timescale to achieve the final stable state. Moreover, we find that the complexity growth under the sudden quench is directly proportional to the mass difference. And all of the results show some similar behaviors with the circuit complexity of Thermofield double states. By using a recent approach proposed by Hackl et al. to evaluate the complexity of the free fermionic Gaussian state, we compute the complexity of the Dirac vacuum state of the Fermi system with a mass quench. First of all, we review the counting method given by Hackl et al., and demonstrate that the result can be adapted to all of the compact transformation group G. Then, we utilize this result to study the time evolution of the complexity of these states. We show that, for the rotational invariant reference state, the total complexity of the incoming vacuum state will saturate the value of the instantaneous vacuum state at the late times, with a typical timescale to achieve the final stable state. Moreover, we find that the complexity growth under the sudden quench is directly proportional to the mass difference. And all of the results show some similar behaviors with the circuit complexity of Thermofield double states. Shan, Jieru oth Yang, Jian-Zhi oth Enthalten in North-Holland Publ. Co Schnöing, L. ELSEVIER Alkaline cleaning of ultra-high temperature dairy fouling in a laminar flow regime 2021 journal devoted to the experimental and theoretical study of the fundamental constituents of matter and their interactions Amsterdam (DE-627)ELV005740207 volume:954 year:2020 pages:0 https://doi.org/10.1016/j.nuclphysb.2020.114988 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 58.34 Lebensmitteltechnologie VZ 48.61 Tierernährung Tierfutter VZ AR 954 2020 0 |
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circuit complexity for free fermion with a mass quench |
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Circuit complexity for free fermion with a mass quench |
| abstract |
By using a recent approach proposed by Hackl et al. to evaluate the complexity of the free fermionic Gaussian state, we compute the complexity of the Dirac vacuum state of the Fermi system with a mass quench. First of all, we review the counting method given by Hackl et al., and demonstrate that the result can be adapted to all of the compact transformation group G. Then, we utilize this result to study the time evolution of the complexity of these states. We show that, for the rotational invariant reference state, the total complexity of the incoming vacuum state will saturate the value of the instantaneous vacuum state at the late times, with a typical timescale to achieve the final stable state. Moreover, we find that the complexity growth under the sudden quench is directly proportional to the mass difference. And all of the results show some similar behaviors with the circuit complexity of Thermofield double states. |
| abstractGer |
By using a recent approach proposed by Hackl et al. to evaluate the complexity of the free fermionic Gaussian state, we compute the complexity of the Dirac vacuum state of the Fermi system with a mass quench. First of all, we review the counting method given by Hackl et al., and demonstrate that the result can be adapted to all of the compact transformation group G. Then, we utilize this result to study the time evolution of the complexity of these states. We show that, for the rotational invariant reference state, the total complexity of the incoming vacuum state will saturate the value of the instantaneous vacuum state at the late times, with a typical timescale to achieve the final stable state. Moreover, we find that the complexity growth under the sudden quench is directly proportional to the mass difference. And all of the results show some similar behaviors with the circuit complexity of Thermofield double states. |
| abstract_unstemmed |
By using a recent approach proposed by Hackl et al. to evaluate the complexity of the free fermionic Gaussian state, we compute the complexity of the Dirac vacuum state of the Fermi system with a mass quench. First of all, we review the counting method given by Hackl et al., and demonstrate that the result can be adapted to all of the compact transformation group G. Then, we utilize this result to study the time evolution of the complexity of these states. We show that, for the rotational invariant reference state, the total complexity of the incoming vacuum state will saturate the value of the instantaneous vacuum state at the late times, with a typical timescale to achieve the final stable state. Moreover, we find that the complexity growth under the sudden quench is directly proportional to the mass difference. And all of the results show some similar behaviors with the circuit complexity of Thermofield double states. |
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Circuit complexity for free fermion with a mass quench |
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https://doi.org/10.1016/j.nuclphysb.2020.114988 |
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Shan, Jieru Yang, Jian-Zhi |
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