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Understanding how closed quantum systems dynamically approach thermal equilibrium presents a major unresolved problem in statistical physics. Generically, non-integrable quantum systems are expected to thermalize as they comply with the…

Controllable arrays of ions and ultra-cold atoms can simulate complex many-body phenomena and may provide insights into unsolved problems in modern science. To this end, experimentally feasible protocols for quantifying the buildup of…

Prethermalization refers to the transient phenomenon where a system thermalizes according to a Hamiltonian that is not the generator of its evolution. We provide here a rigorous framework for quantum spin systems where prethermalization is…

数学物理 · 物理学 2017-07-11 Dmitry Abanin , Wojciech De Roeck , Wen Wei Ho , Francois Huveneers

We provide a protocol to measure out-of-time-order correlation functions. These correlation functions are of theoretical interest for diagnosing the scrambling of quantum information in black holes and strongly interacting quantum systems…

量子物理 · 物理学 2016-11-02 Brian Swingle , Gregory Bentsen , Monika Schleier-Smith , Patrick Hayden

Statistical mechanics can predict thermal equilibrium states for most classical systems, but for an isolated quantum system there is no general understanding on how equilibrium states dynamically emerge from the microscopic Hamiltonian. For…

量子物理 · 物理学 2016-08-03 B. Neyenhuis , J. Smith , A. C. Lee , J. Zhang , P. Richerme , P. W. Hess , Z. -X. Gong , A. V. Gorshkov , C. Monroe

Understanding the microscopic mechanisms of thermalization in closed quantum systems is among the key challenges in modern quantum many-body physics. We demonstrate a method to probe local thermalization in a large-scale many-body system by…

Information scrambling, which is the spread of local information through a system's many-body degrees of freedom, is an intrinsic feature of many-body dynamics. In quantum systems, the out-of-time-ordered correlator (OTOC) quantifies…

量子物理 · 物理学 2022-03-09 Bhuvanesh Sundar , Andreas Elben , Lata Kh Joshi , Torsten V. Zache

We extend the results of two of our papers [Phys. Rev. A 94, 041603R (2016) and Phys. Rev. B 97, 060303R (2018)] that touch upon the intimately connected topics of quantum chaos and thermalization. In the first, we argued that when the…

统计力学 · 物理学 2019-03-27 E. Jonathan Torres-Herrera , Lea F. Santos

Out-of-time-ordered correlation functions (OTOCs) play a crucial role in the study of thermalization, entanglement, and quantum chaos, as they quantify the scrambling of quantum information due to complex interactions. As a consequence of…

Non-equilibrium time evolution in isolated many-body quantum systems generally results in thermalization. However, the relaxation process can be very slow, and quasi-stationary non-thermal plateaux are often observed at intermediate times.…

统计力学 · 物理学 2017-07-06 Vincenzo Alba , Maurizio Fagotti

Out-of-time-order correlations (OTOCs) characterize the scrambling, or delocalization, of quantum information over all the degrees of freedom of a system and thus have been proposed as a proxy for chaos in quantum systems. Recent…

量子物理 · 物理学 2018-01-30 Martin Gärttner , Philipp Hauke , Ana Maria Rey

The approach to thermal equilibrium, or thermalization, in isolated quantum systems is among the most fundamental problems in statistical physics. Recent theoretical studies have revealed that thermalization in isolated quantum systems has…

统计力学 · 物理学 2018-05-23 Takashi Mori , Tatsuhiko N. Ikeda , Eriko Kaminishi , Masahito Ueda

Out-of-time-order correlator (OTOC), been suggested as a measure of quantum information scrambling in quantum many-body systems, has received enormous attention recently. The experimental measurement of OTOC is quite challenging. The…

量子物理 · 物理学 2019-04-01 Xinfang Nie , Ze Zhang , Xiuzhu Zhao , Tao Xin , Dawei Lu , Jun Li

Scrambling of quantum information can be conveniently quantified by so called out-of-time-order-correlators (OTOCs), whose measurements presents a formidable experimental challenge. Here we report on a method for the measurement of OTOCs…

量子物理 · 物理学 2017-06-28 Michele Campisi , John Goold

Unconventional nonequilibrium phases with restricted correlation spreading and slow entanglement growth have been proposed to emerge in systems with confined excitations, calling their thermalization dynamics into question. Here, we show…

统计力学 · 物理学 2024-10-25 Stefan Birnkammer , Alvise Bastianello , Michael Knap

We develop a rigorous system-agnostic method to predict quantum thermalization in an overwhelming fraction of accessible pure states in a many-body system, entirely in terms of certain out-of-time-ordered correlators of few-body…

量子物理 · 物理学 2026-04-06 Amit Vikram

Out-of-time-ordered correlators (OTOCs) are a key observable in a wide range of interconnected fields including many-body physics, quantum information science, and quantum gravity. Measuring OTOCs using near-term quantum simulators will…

Out-of-time-order correlators (OTOCs) have become established as a tool to characterise quantum information dynamics and thermalisation in interacting quantum many-body systems. It was recently argued that the expected exponential growth of…

统计力学 · 物理学 2021-09-21 Marlon Brenes , Silvia Pappalardi , Mark T. Mitchison , John Goold , Alessandro Silva

Characterizing out-of-equilibrium many-body dynamics is a complex but crucial task for quantum applications and the understanding of fundamental phenomena. A central question is the role of localization in quenching quantum thermalization,…

无序系统与神经网络 · 物理学 2018-02-20 Ken Xuan Wei , Chandrasekhar Ramanathan , Paola Cappellaro

We study the dynamics of a quantum Ising chain after the sudden introduction of a non-integrable long-range interaction. Via an exact mapping onto a fully-connected lattice of hard-core bosons, we show that a pre-thermal state emerges and…

统计力学 · 物理学 2013-11-19 Matteo Marcuzzi , Jamir Marino , Andrea Gambassi , Alessandro Silva
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