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The most general and versatile defining feature of quantum chaotic systems is that they possess an energy spectrum with correlations universally described by random matrix theory (RMT). This feature can be exhibited by systems with a well…

Chaotic Dynamics · Physics 2019-01-11 Bruno Bertini , Pavel Kos , Tomaz Prosen

A key goal of quantum chaos is to establish a relationship between widely observed universal spectral fluctuations of clean quantum systems and random matrix theory (RMT). For single particle systems with fully chaotic classical…

Chaotic Dynamics · Physics 2018-06-14 Pavel Kos , Marko Ljubotina , Tomaz Prosen

Relaxation towards equilibrium is often assumed to be slower when a system starts farther from equilibrium, but this intuition fails in the Mpemba effect. Recent advances in controllable quantum platforms have enabled the exploration of its…

Statistical Mechanics · Physics 2026-03-13 Shion Yamashika , Ryusuke Hamazaki

Modelling the electrical response of multi-level quantum systems at finite frequency has been typically performed in the context of two incomplete paradigms: (i) input-output theory, which is valid at any frequency but neglects dynamic…

Mesoscale and Nanoscale Physics · Physics 2025-10-14 L. Peri , M. Benito , C. J. B. Ford , M. F. Gonzalez-Zalba

A major open question in studies of nonequilibrium quantum dynamics is the identification of the time scales involved in the relaxation process of isolated quantum systems that have many interacting particles. We demonstrate that long time…

Statistical Mechanics · Physics 2019-05-30 Mauro Schiulaz , E. Jonathan Torres-Herrera , Lea F. Santos

Dynamical properties of classical chaotic systems, for instance relaxation, can be understood as emerging from the time evolution of initially smooth long-wavelength densities to ever finer short-wavelength densities with fractal structure.…

Statistical Mechanics · Physics 2026-04-21 Urban Duh , Marko Žnidarič

The fundamental correspondence between quantum chaotic single-particle systems and random matrix theory is well-understood via periodic orbit theory. In contrast, we show that many-body systems with explicit subsystem structure possess…

Quantum Physics · Physics 2026-05-27 Maximilian F. I. Kieler , Felix Fritzsch , Arnd Bäcker

The emergence of the arrow of time in quantum many-body systems stems from the inherent tendency of Hamiltonian evolution to scramble quantum information and increase entanglement. While, in principle, one might counteract this temporal…

Strongly Correlated Electrons · Physics 2026-02-11 Yu-Chen Li , Tian-Gang Zhou , Shengyu Zhang , Ze Wu , Liqiang Zhao , Haochuan Yin , Xiaoxue An , Hui Zhai , Pengfei Zhang , Xinhua Peng , Jiangfeng Du

In thermalizing many-body quantum systems without conservation laws such as ergodic Floquet and random unitary circuits, local expectation values are predicted to decay to their equilibrium values exponentially quickly. In this work we…

Quantum Physics · Physics 2025-03-17 Carolyn Zhang , Laimei Nie , Curt von Keyserlingk

We study Ruelle-Pollicott resonances in translationally invariant quantum many-body lattice systems via spectra of a momentum-resolved operator propagator on infinite systems. Momentum dependence gives insight into the decay of correlation…

Quantum Physics · Physics 2024-11-06 Marko Znidaric

We study the consequences of having translational invariance in space and in time in many-body quantum chaotic systems. We consider an ensemble of random quantum circuits, composed of single-site random unitaries and nearest neighbour…

Statistical Mechanics · Physics 2022-12-07 Amos Chan , Saumya Shivam , David A. Huse , Andrea De Luca

Two generically different but universal dynamical quantum many-body behaviors are discovered by probing the stability of trapped fragmented bosonic systems with strong repulsive finite/long range inter-particle interactions. We use…

Quantum Gases · Physics 2014-10-21 Oksana I. Streltsova , Ofir E. Alon , Lorenz S. Cederbaum , Alexej I. Streltsov

The out-of-time-order correlator (OTOC) quantifies information scrambling in quantum systems and serves as a key diagnostic of quantum chaos. In one-body systems with a classical counterpart, the relaxation of the OTOC is governed by…

Quantum Physics · Physics 2026-03-03 Jerónimo Duarte , Ignacio García-Mata , Diego A. Wisniacki

Understanding thermalisation in quantum many-body systems is among the most enduring problems in modern physics. A particularly interesting question concerns the role played by quantum mechanics in this process, i.e. whether thermalisation…

Statistical Mechanics · Physics 2025-04-11 Bruno Bertini , Katja Klobas , Pavel Kos , Daniel Malz

Resonance is a general phenomenon which can happen in classic or quantum systems. An unbound many-body quantum system can undergo a self-resonant process. It has long been a challenge how to describe unbound many-body quantum systems in…

Nuclear Theory · Physics 2020-01-23 B. S. Hu , Q. Wu , Z. H. Sun , F. R. Xu

The NMR technique allows one to create a non-equilibrium local polarization and to detect its later evolution. By a change of the sign of the effective dipolar Hamiltonian, the apparently diffusive dynamics is reverted, generating a…

Condensed Matter · Physics 2007-05-23 Gonzalo Usaj , Horacio M. Pastawski , Patricia R. Levstein

Intrinsic decoherence in the thermodynamic limit is shown for a large class of many-body quantum systems in the unitary evolution in NMR and cavity QED. The effect largely depends on the inability of the system to recover the phases.…

Quantum Physics · Physics 2007-05-23 Marco Frasca

We investigate universal signatures of quantum chaos in the presence of time reversal symmetry (TRS) in generic many body quantum chaotic systems (gMBQCs). We study three classes of minimal models of gMBQCs with TRS, realized through random…

Statistical Mechanics · Physics 2025-07-16 Weijun Wu , Saumya Shivam , Amos Chan

We describe the dynamics of many-body quantum chaotic systems at all time scales by studying the Green's and out-of-time order correlation (OTOC) functions of the four-body, $N$-Majorana Sachdev-Ye-Kitaev model. By combining the scramblon…

High Energy Physics - Theory · Physics 2026-05-28 Antonio M. García-García , Lucas Sá , Jacobus J. M. Verbaarschot , Jie-Ping Zheng

Recent experiments have reported that novel physics emerge in open quantum many-body sys- tems due to an interplay of interactions and dissipation, which stimulate theoretical studies of the many-body Lindblad equation. Although the strong…

Statistical Mechanics · Physics 2024-01-30 Takashi Mori
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