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This work investigates the relationship between quantum chaos and thermalization in a three-species Bose-Josephson Junction (BJJ) with mutual interactions, without coupling to any external environment. The analysis is grounded in the…

Statistical Mechanics · Physics 2026-04-21 Francesco Di Menna , Sergio Ciuchi , Simone Paganelli

Statistical mechanics provides a framework for describing the physics of large, complex many-body systems using only a few macroscopic parameters to determine the state of the system. For isolated quantum many-body systems, such a…

Disordered Systems and Neural Networks · Physics 2025-02-11 Piotr Sierant , Maciej Lewenstein , Antonello Scardicchio , Lev Vidmar , Jakub Zakrzewski

We study the quantum Fisher information (QFI) and, thus, the multipartite entanglement structure of thermal pure states in the context of the Eigenstate Thermalization Hypothesis (ETH). In both the canonical ensemble and the ETH, the…

Statistical Mechanics · Physics 2020-02-04 Marlon Brenes , Silvia Pappalardi , John Goold , Alessandro Silva

The eigenstate thermalization hypothesis as well as the quantum ergodic theorem are studied in the light of quantum Fisher information. We show how global bounds on quantum Fisher information set the ETH and ergodicity conditions.…

High Energy Physics - Theory · Physics 2019-12-19 Cesar Gomez

Unitary Designs have become a vital tool for investigating pseudorandomness since they approximate the statistics of the uniform Haar ensemble. Despite their central role in quantum information, their relation to quantum chaotic evolution…

Quantum Physics · Physics 2025-02-19 Michele Fava , Jorge Kurchan , Silvia Pappalardi

The recent discovery that for large Hilbert spaces, almost all (that is, typical) Hamiltonians have eigenstates that place small subsystems in thermal equilibrium, has shed much light on the origins of irreversibility and thermalization.…

Quantum Physics · Physics 2015-06-03 Shawn Dubey , Luciano Silvestri , Justin Finn , Sai Vinjanampathy , Kurt Jacobs

Lattice gauge theories, discretized cousins of continuum gauge theories arising in the Standard Model, have become important platforms for exploring non-equilibrium quantum phenomena. Recent works have reported the possibility of…

Quantum Physics · Physics 2025-04-24 Jared Jeyaretnam , Tanmay Bhore , Jesse J. Osborne , Jad C. Halimeh , Zlatko Papić

We study the onset of eigenstate thermalization in the two-dimensional transverse field Ising model (2D-TFIM) in the square lattice. We consider two non-equivalent Hamiltonians: the ferromagnetic 2D-TFIM and the antiferromagnetic 2D-TFIM in…

Statistical Mechanics · Physics 2016-03-14 Rubem Mondaini , Keith R. Fratus , Mark Srednicki , Marcos Rigol

In this paper, a method is developed for the study of a generic small central quantum system, which is locally coupled to an environment as a many-body quantum chaotic system that satisfies the eigenstate thermalization hypothesis (ETH)…

Quantum Physics · Physics 2026-04-27 Wen-ge Wang

Using numerical exact diagonalization, we study matrix elements of a local spin operator in the eigenbasis of two different nonintegrable quantum spin chains. Our emphasis is on the question to what extent local operators can be represented…

Statistical Mechanics · Physics 2020-10-27 Jonas Richter , Anatoly Dymarsky , Robin Steinigeweg , Jochen Gemmer

We consider a 2D quantum spin model with ring-exchange interaction that has subsystem symmetries associated to conserved magnetization along rows and columns of a square lattice, which implies the conservation of the global dipole moment.…

Strongly Correlated Electrons · Physics 2022-10-19 Alexey Khudorozhkov , Apoorv Tiwari , Claudio Chamon , Titus Neupert

We study eigenstate thermalization and related signatures of quantum chaos in the one-dimensional ferromagnetic transverse-field Ising model with power-law interactions. The presence of long-range interactions allows for a…

Statistical Mechanics · Physics 2017-06-13 Keith R. Fratus , Mark Srednicki

Motivated by previous works on a Floquet version of the PXP model [Mukherjee {\it et al.} Phys. Rev. B 102, 075123 (2020), Mukherjee {\it et al.} Phys. Rev. B 101, 245107 (2020)], we study a one-dimensional spin-$1/2$ lattice model with…

Strongly Correlated Electrons · Physics 2021-10-12 Bhaskar Mukherjee , Debasish Banerjee , K. Sengupta , Arnab Sen

We study in detail the properties of the quantum East model, an interacting quantum spin chain inspired by simple kinetically-constrained models of classical glasses. Through a combination of analytics, exact diagonalization and…

Statistical Mechanics · Physics 2020-06-09 Nicola Pancotti , Giacomo Giudice , J. Ignacio Cirac , Juan P. Garrahan , Mari Carmen Bañuls

We investigate the thermalization dynamics of 1D systems with local constraints coupled to an infinite temperature bath at one boundary. The coupling to the bath eventually erases the effects of the constraints, causing the system to tend…

Quantum Physics · Physics 2025-01-24 Cheng Wang , Shankar Balasubramanian , Yiqiu Han , Ethan Lake , Xiao Chen , Zhi-Cheng Yang

We extend the notion of the Eigenstate Thermalization Hypothesis (ETH) to Open Quantum Systems governed by the Gorini-Kossakowski-Lindblad-Sudarshan (GKLS) Master Equation. We present evidence that the eigenstates of non-equilibrium steady…

Statistical Mechanics · Physics 2019-07-10 Sanjay Moudgalya , Trithep Devakul , D. P. Arovas , S. L. Sondhi

Thermalization of isolated quantum systems is a long-standing fundamental problem where different mechanisms are proposed over time. We contribute to this discussion by classifying the diverse quench dynamical behaviours of spin-1…

Quantum Physics · Physics 2018-02-07 Ceren B. Dağ , Sheng-Tao Wang , L. -M. Duan

It has previously been suggested that small subsystems of closed quantum systems thermalize under some assumptions; however, this has been rigorously shown so far only for systems with very weak interaction between subsystems. In this work,…

Quantum Physics · Physics 2021-03-31 Markus P. Mueller , Emily Adlam , Lluis Masanes , Nathan Wiebe

In quantum many-body systems with kinetically constrained dynamics, the Hilbert space can split into exponentially many disconnected subsectors, a phenomenon known as Hilbert-space fragmentation. We study the interplay of such fragmentation…

Quantum Physics · Physics 2025-10-09 Thomas Iadecola

Thermal behavior in subsystems of closed quantum systems is commonly attributed to dynamical chaos, quantum ergodicity, canonical typicality, or the eigenstate thermalization hypothesis, suggesting a fundamentally statistical origin of…

Quantum Physics · Physics 2026-04-13 Uttam Singh , Nicolas J. Cerf
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