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J. Kim, I. R. Klebanov, G. Tarnopolsky, and W. Zhao, Symmetry Breaking in Coupled SYK or Tensor Models, Physical Review X 9
Original
1902
Earlier work this paper cites.
T. Can, V. Oganesyan, D. Orgad, and S. Gopalakrishnan, Spectral Gaps and Midgap States in Random Quantum Master Equations, Phys. Rev. Lett. 123
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1902
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T. Can, Random Lindblad dynamics, Journal of Physics A Mathematical General 52
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1902
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A. Altland, D. Bagrets, and A. Kamenev, Quantum Criticality of Granular Sachdev-Ye-Kitaev Matter, Phys. Rev. Lett. 123
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1903
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R. Hamazaki, K. Kawabata, N. Kura, and M. Ueda, Universality classes of non-Hermitian random matrices, Physical Review Research 2
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1904
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L. Sá, P. Ribeiro, and T. Prosen, Spectral and steady-state properties of random Liouvillians, Journal of Physics A Mathematical General 53
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1905
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L. Sá, P. Ribeiro, and T. Prosen, Complex Spacing Ratios: A Signature of Dissipative Quantum Chaos, Physical Review X 10
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1910
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G. Akemann, M. Kieburg, A. Mielke, and T. Prosen, Universal Signature from Integrability to Chaos in Dissipative Open Quantum Systems, Phys. Rev. Lett. 123
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1910
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K. Wang, F. Piazza, and D. J. Luitz, Hierarchy of Relaxation Timescales in Local Random Liouvillians, Phys. Rev. Lett. 124
Original
1911
Earlier work this paper cites.
J. Maldacena and A. Milekhin, SYK wormhole formation in real time, arXiv e-prints , arXiv:1912.03276 (2019), arXiv:1912.03276 [hep-th]
Original
1912
Earlier work this paper cites.
A. J. Leggett, S. Chakravarty, A. T. Dorsey, M. P. A. Fisher, A. Garg, and W. Zwerger, Dynamics of the dissipative two-state system, Rev. Mod. Phys. 59
1987
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W. M. Itano, D. J. Heinzen, J. J. Bollinger, and D. J. Wineland, Quantum zeno effect, Phys. Rev. A 41
1990
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S. Sachdev and J. Ye, Gapless spin-fluid ground state in a random quantum Heisenberg magnet, Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
L. Sá, P. Ribeiro, T. Can, and T. Prosen, Spectral transitions and universal steady states in random Kraus maps and circuits, Phys. Rev. B 102
Original
2007
Earlier work this paper cites.
C. Liu, P. Zhang, and X. Chen, Non-unitary dynamics of Sachdev-Ye-Kitaev chain, arXiv e-prints , arXiv:2008.11955 (2020), arXiv:2008.11955 [cond-mat.str-el]
Original
2008
Earlier work this paper cites.
Z. Xu, A. Chenu, T. Prosen, and A. del Campo, Thermofield dynamics: Quantum chaos versus decoherence, Phys. Rev. B 103
Original
2008
Earlier work this paper cites.

Similar

A. M. García-García and V. Godet, Euclidean wormhole in the Sachdev-Ye-Kitaev model, Phys. Rev. D 103
Original
2010
Cited alongside, same era.
A. Kamenev, Field Theory of Non-Equilibrium Systems (Cambridge University Press, 2011)
2011
Cited alongside, same era.
A. Kitaev, A simple model of quantum holography, Talks at KITP (2015)
2015
Cited alongside, same era.
J. Maldacena and D. Stanford, Remarks on the Sachdev-Ye-Kitaev model, Phys. Rev. D 94
Original
2016
Cited alongside, same era.
L. M. Sieberer, M. Buchhold, and S. Diehl, Keldysh field theory for driven open quantum systems, Reports on Progress in Physics 79
Original
2016
Cited alongside, same era.

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2021

Lindbladian dynamics of the Sachdev-Ye-Kitaev model

Kulkarni, Anish, Numasawa, Tokiro, Ryu, Shinsei

Understand

We study the Lindbladian dynamics of the Sachdev-Ye-Kitaev (SYK) model, where the SYK model is coupled to Markovian reservoirs with jump operators that are either linear or quadratic in the Majorana fermion operators.

Here, the linear jump operators are non-random while the quadratic jump operators are sampled from a Gaussian distribution.
In the limit of large $N$, where $N$ is the number of Majorana fermion operators, and also in the limit of large $N$ and $M$, where $M$ is the number of jump operators, the SYK Lindbladians are analytically tractable, and we obtain their stationary Green's functions, from which we can read off the decay rate.
For finite $N$, we also study the distribution of the eigenvalues of the SYK Lindbladians.

Built on

J. Kim, I. R. Klebanov, G. Tarnopolsky, and W. Zhao, Symmetry Breaking in Coupled SYK or Tensor Models, Physical Review X 9
Original
1902
Earlier work this paper cites.
T. Can, V. Oganesyan, D. Orgad, and S. Gopalakrishnan, Spectral Gaps and Midgap States in Random Quantum Master Equations, Phys. Rev. Lett. 123
Original
1902
Earlier work this paper cites.
T. Can, Random Lindblad dynamics, Journal of Physics A Mathematical General 52
Original
1902
Earlier work this paper cites.
A. Altland, D. Bagrets, and A. Kamenev, Quantum Criticality of Granular Sachdev-Ye-Kitaev Matter, Phys. Rev. Lett. 123
Original
1903
Earlier work this paper cites.
R. Hamazaki, K. Kawabata, N. Kura, and M. Ueda, Universality classes of non-Hermitian random matrices, Physical Review Research 2
Original
1904
Earlier work this paper cites.
L. Sá, P. Ribeiro, and T. Prosen, Spectral and steady-state properties of random Liouvillians, Journal of Physics A Mathematical General 53
Original
1905
Earlier work this paper cites.
L. Sá, P. Ribeiro, and T. Prosen, Complex Spacing Ratios: A Signature of Dissipative Quantum Chaos, Physical Review X 10
Original
1910
Earlier work this paper cites.
G. Akemann, M. Kieburg, A. Mielke, and T. Prosen, Universal Signature from Integrability to Chaos in Dissipative Open Quantum Systems, Phys. Rev. Lett. 123
Original
1910
Earlier work this paper cites.
K. Wang, F. Piazza, and D. J. Luitz, Hierarchy of Relaxation Timescales in Local Random Liouvillians, Phys. Rev. Lett. 124
Original
1911
Earlier work this paper cites.
J. Maldacena and A. Milekhin, SYK wormhole formation in real time, arXiv e-prints , arXiv:1912.03276 (2019), arXiv:1912.03276 [hep-th]
Original
1912
Earlier work this paper cites.
A. J. Leggett, S. Chakravarty, A. T. Dorsey, M. P. A. Fisher, A. Garg, and W. Zwerger, Dynamics of the dissipative two-state system, Rev. Mod. Phys. 59
1987
Earlier work this paper cites.
W. M. Itano, D. J. Heinzen, J. J. Bollinger, and D. J. Wineland, Quantum zeno effect, Phys. Rev. A 41
1990
Earlier work this paper cites.
S. Sachdev and J. Ye, Gapless spin-fluid ground state in a random quantum Heisenberg magnet, Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
L. Sá, P. Ribeiro, T. Can, and T. Prosen, Spectral transitions and universal steady states in random Kraus maps and circuits, Phys. Rev. B 102
Original
2007
Earlier work this paper cites.
C. Liu, P. Zhang, and X. Chen, Non-unitary dynamics of Sachdev-Ye-Kitaev chain, arXiv e-prints , arXiv:2008.11955 (2020), arXiv:2008.11955 [cond-mat.str-el]
Original
2008
Earlier work this paper cites.
Z. Xu, A. Chenu, T. Prosen, and A. del Campo, Thermofield dynamics: Quantum chaos versus decoherence, Phys. Rev. B 103
Original
2008
Earlier work this paper cites.

Similar

A. M. García-García and V. Godet, Euclidean wormhole in the Sachdev-Ye-Kitaev model, Phys. Rev. D 103
Original
2010
Cited alongside, same era.
A. Kamenev, Field Theory of Non-Equilibrium Systems (Cambridge University Press, 2011)
2011
Cited alongside, same era.
A. Kitaev, A simple model of quantum holography, Talks at KITP (2015)
2015
Cited alongside, same era.
J. Maldacena and D. Stanford, Remarks on the Sachdev-Ye-Kitaev model, Phys. Rev. D 94
Original
2016
Cited alongside, same era.
L. M. Sieberer, M. Buchhold, and S. Diehl, Keldysh field theory for driven open quantum systems, Reports on Progress in Physics 79
Original
2016
Cited alongside, same era.

Then

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X.-Y. Song, C.-M. Jian, and L. Balents, Strongly Correlated Metal Built from Sachdev-Ye-Kitaev Models, Phys. Rev. Lett. 119

Original

2017

Cited alongside, same era.

W. Fu, D. Gaiotto, J. Maldacena, and S. Sachdev, Publisher’s Note: Supersymmetric Sachdev-Ye-Kitaev models [Phys. Rev. D 95, 026009 (2017)], Phys. Rev. D 95

Original

2017

Cited alongside, same era.

Z. Bi, C.-M. Jian, Y.-Z. You, K. A. Pawlak, and C. Xu, Instability of the non-Fermi-liquid state of the Sachdev-Ye-Kitaev model, Phys. Rev. B 95

Original

2017

Cited alongside, same era.

A. Eberlein, V. Kasper, S. Sachdev, and J. Steinberg, Quantum quench of the Sachdev-Ye-Kitaev Model, arXiv e-prints , arXiv:1706.07803 (2017), arXiv:1706.07803 [cond-mat.str-el]

Original

2017

Cited alongside, same era.

J. Marshall, L. Campos Venuti, and P. Zanardi, Noise suppression via generalized-markovian processes, Phys. Rev. A 96

2017

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J. Maldacena and X.-L. Qi, Eternal traversable wormhole, arXiv e-prints , arXiv:1804.00491 (2018), arXiv:1804.00491 [hep-th]

Original

2018

Cited alongside, same era.

V. Popkov, S. Essink, C. Presilla, and G. Schütz, Effective quantum zeno dynamics in dissipative quantum systems, Physical Review A 98

2018

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J. Cornelius, Z. Xu, A. Saxena, A. Chenu, and A. del Campo, Spectral Filtering Induced by Non-Hermitian Evolution with Balanced Gain and Loss: Enhancing Quantum Chaos, arXiv e-prints , arXiv:2108.06784 (2021), arXiv:2108.06784 [quant-ph]

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C. Zanoci and B. Swingle, Energy Transport in Sachdev-Ye-Kitaev Networks Coupled to Thermal Baths, arXiv e-prints , arXiv:2109.03268 (2021), arXiv:2109.03268 [cond-mat.str-el]

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L. Sá and A. M. García-García, The Wishart-Sachdev-Ye-Kitaev model: Q-Laguerre spectral density and quantum chaos, arXiv e-prints , arXiv:2104.07647 (2021), arXiv:2104.07647 [hep-th]

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M. Prasad, H. K. Yadalam, C. Aron, and M. Kulkarni, Dissipative quantum dynamics, phase transitions and non-Hermitian random matrices, arXiv e-prints , arXiv:2112.05765 (2021), arXiv:2112.05765 [quant-ph]

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