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Quantum chaos in the sparse SYK model [PDF]
Journal of High Energy PhysicsThe Sachdev-Ye-Kitaev (SYK) model is a system of N Majorana fermions with random interactions and strongly chaotic dynamics, which at low energy admits a holographically dual description as two-dimensional Jackiw-Teitelboim gravity.
P. Orman, H. Gharibyan, J. Preskill
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Symmetry Classification and Universality in Non-Hermitian Many-Body Quantum Chaos by the Sachdev-Ye-Kitaev Model [PDF]
Physical Review X, 2021 Spectral correlations are a powerful tool to study the dynamics of quantum many-body systems. For Hermitian Hamiltonians, quantum chaotic motion is related to random matrix theory spectral correlations.
Antonio M. Garc'ia-Garc'ia +2 more
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Transient and Steady-State Chaos in Dissipative Quantum Systems. [PDF]
Physical Review LettersDissipative quantum chaos plays a central role in the characterization and control of information scrambling, nonunitary evolution, and thermalization, but it still lacks a precise definition. The Grobe-Haake-Sommers conjecture, which links Ginibre level
Debabrata Mondal +2 more
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Onset of many-body quantum chaos due to breaking integrability [PDF]
Physical review B, 2021 Integrable quantum systems of finite size are generically robust against weak enough integrability-breaking perturbations, but become quantum chaotic and thermalizing if the integrability-breaking is strong enough.
V. B. Bulchandani +2 more
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Optimal Conversion from Classical to Quantum Randomness via Quantum Chaos. [PDF]
Physical Review LettersQuantum many-body systems provide a unique platform for exploring the rich interplay between chaos, randomness, and complexity. In a recently proposed paradigm known as deep thermalization, random quantum states of system A are generated by performing ...
Wai-Keong Mok +4 more
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On systems of maximal quantum chaos [PDF]
Journal of High Energy Physics, 2021 A remarkable feature of chaos in many-body quantum systems is the existence of a bound on the quantum Lyapunov exponent. An important question is to understand what is special about maximally chaotic systems which saturate this bound.
Mike Blake, Hong Liu
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Quantum-classical mechanics as an alternative to quantum mechanics in molecular and chemical physics
Heliyon, 2019 In quantum mechanics, the theory of quantum transitions is grounded on the convergence of a series of time-dependent perturbation theory. In nuclear and atomic physics, this series converges because the dynamics of quantum transitions (quantum jumps) are
Vladimir V. Egorov
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Subdiffusion and Many-Body Quantum Chaos with Kinetic Constraints. [PDF]
Physical Review Letters, 2021 We investigate the spectral and transport properties of many-body quantum systems with conserved charges and kinetic constraints. Using random unitary circuits, we compute ensemble-averaged spectral form factors and linear-response correlation functions,
Hansveer Singh +3 more
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Quantum chaos and quantum algorithms [PDF]
Physical Review A, 2002 It was recently shown (quant-ph/9909074) that parasitic random interactions between the qubits in a quantum computer can induce quantum chaos and put into question the operability of a quantum computer. In this work I investigate whether already the interactions between the qubits introduced with the intention to operate the quantum computer may lead ...
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Quantum chaos and the correspondence principle [PDF]
Physical Review E, 2021 The correspondence principle is a cornerstone in the entire construction of quantum mechanics. This principle has been recently challenged by the observation of an early-time exponential increase of the out-of-time-ordered correlator (OTOC) in classically non-chaotic systems [E.B. Rozenbaum et al., Phys. Rev. Lett.
Jiaozi Wang +3 more
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