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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

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…

The thermalization of isolated quantum many-body systems is deeply related to fundamental questions of quantum information theory. While integrable or many-body localized systems display non-ergodic behavior due to extensively many…

The phenomenon of Hilbert space fragmentation, whereby dynamical constraints fragment Hilbert space into many disconnected sectors, provides a simple mechanism by which thermalization can be arrested. However, little is known about how…

Quantum Physics · Physics 2026-04-06 Yiqiu Han , Xiao Chen , Ethan Lake

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…

Statistical Mechanics · Physics 2024-10-25 Stefan Birnkammer , Alvise Bastianello , Michael Knap

We investigate the emergence of stable subspaces in the low-temperature quantum thermal dynamics of finite spin chains. Our analysis reveals the existence of effective decoherence-free qudit subspaces, persisting for timescales exponential…

Quantum Physics · Physics 2025-08-06 Michael J. Kastoryano , Lasse B. Kristensen , Chi-Fang Chen , András Gilyén

We study the dynamics of periodically-kicked many-body systems away from the high-frequency regime, and discuss a family of Floquet systems where the notion of prethermalization can be naturally extended to intermediate and low driving…

Statistical Mechanics · Physics 2021-05-05 Christoph Fleckenstein , Marin Bukov

In this work, based on the Fredkin spin chain, we introduce a family of spin-$1/2$ many-body Hamiltonians with a three-site interaction featuring a fragmented Hilbert space with coexisting quantum many-body scars. The fragmentation results…

Strongly Correlated Electrons · Physics 2021-08-24 Christopher M. Langlett , Shenglong Xu

The thermalization phenomenon and many-body quantum statistical properties are studied on the example of several observables in isolated spin-chain systems, both integrable and generic non-integrable ones. While diagonal matrix elements for…

Strongly Correlated Electrons · Physics 2013-01-17 Robin Steinigeweg , Jacek Herbrych , Peter Prelovšek

We explore the dynamics of the entanglement entropy near equilibrium in highly-entangled pure states of two quantum-chaotic spin chains undergoing unitary time evolution. We examine the relaxation to equilibrium from initial states with…

Statistical Mechanics · Physics 2015-06-26 Liangsheng Zhang , Hyungwon Kim , David A. Huse

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…

Quantum Physics · Physics 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

With the aim to understand the role of the constraints in the thermalisation of quantum systems, we study the dynamics of a family of kinetically constrained models arising through duality from the XXZ spin chain. We find that integrable…

Statistical Mechanics · Physics 2023-04-21 Lenart Zadnik , Juan P. Garrahan

The dynamical behavior of a quantum many-particle system is characterized by the lifetime of its excitations. When the system is perturbed, observables of any non-conserved quantity decay exponentially, but those of a conserved quantity…

Strongly Correlated Electrons · Physics 2021-09-28 Khagendra Adhikari , K. S. D. Beach

Ability of dynamical systems to relax to equilibrium has been investigated since the invention of statistical mechanics, which establishes the connection between dynamics of many-body Hamiltonian systems and phenomenological thermodynamics.…

Statistical Mechanics · Physics 2019-07-01 K. S. Glavatskiy , V. L. Kulinskii

A fundamental question in many-body physics is how closed quantum systems reach equilibrium. We address this question experimentally and theoretically in an ultracold large-spin Fermi gas where we find a complex interplay between internal…

The Fredkin spin chain serves as an interesting theoretical example of a quantum Hamiltonian whose ground state exhibits a phase transition between three distinct phases, one of which violates the area law. Here we consider a classical…

Statistical Mechanics · Physics 2024-04-24 Luke Causer , Juan P. Garrahan , Austen Lamacraft

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…

We study theoretically the far-from-equilibrium relaxation dynamics of spin spiral states in the three dimensional isotropic Heisenberg model. The investigated problem serves as an archetype for understanding quantum dynamics of isolated…

Quantum Gases · Physics 2015-10-14 Mehrtash Babadi , Eugene Demler , Michael Knap

Eigenstate thermalization is widely accepted as the mechanism behind thermalization in generic isolated quantum systems. Using the example of a single magnetic defect embedded in the integrable spin-1/2 $XXZ$ chain, we show that locally…

Statistical Mechanics · Physics 2020-08-14 Marlon Brenes , Tyler LeBlond , John Goold , Marcos Rigol

The Fredkin model describes a spin-half chain segment subject to three-body, correlated-exchange interactions and twisted boundary conditions. The model is frustration-free, and its ground state wave function is known exactly. Its…

Strongly Correlated Electrons · Physics 2019-03-29 Khagendra Adhikari , K. S. D. Beach
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