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Statistical mechanics assumes that a quantum many-body system at low temperature can be effectively described by its Gibbs state. However, many complex quantum systems exist only as metastable states of dissipative open system dynamics,…

Quantum Physics · Physics 2025-10-10 Thiago Bergamaschi , Chi-Fang Chen , Umesh Vazirani

Scar eigenstates in a many-body system refers to a small subset of non-thermal finite energy density eigenstates embedded into an otherwise thermal spectrum. This novel non-thermal behaviour has been seen in recent experiments simulating a…

Quantum Physics · Physics 2024-01-12 Sourav Nandy , Bhaskar Mukherjee , Arpan Bhattacharyya , Aritra Banerjee

We apply a recently developed theory for metastability in open quantum systems to a one-dimensional dissipative quantum Ising model. Earlier results suggest this model features either a non-equilibrium phase transition or a smooth but sharp…

Statistical Mechanics · Physics 2016-11-22 Dominic C. Rose , Katarzyna Macieszczak , Igor Lesanovsky , Juan P. Garrahan

We discuss the physical basis of the statistical mechanics of self-gravitating systems. We show the correspondance between statistical mechanics methods based on the evaluation of the density of states and partition function and…

Astrophysics · Physics 2009-11-10 Pierre-Henri Chavanis

Metastable states arise in a range of quantum systems and can be observed in various dynamical scenarios, including decay, bubble nucleation, and long-lived oscillations. The phenomenology of metastable states has been examined in quantum…

We present a general theory of classical metastability in open quantum systems. Metastability is a consequence of a large separation in timescales in the dynamics, leading to the existence of a regime when states of the system appear…

Statistical Mechanics · Physics 2021-07-20 Katarzyna Macieszczak , Dominic C. Rose , Igor Lesanovsky , Juan P. Garrahan

The notion of many-body quantum scars is associated with special eigenstates, usually concentrated in certain parts of Hilbert space, that give rise to robust persistent oscillations in a regime that globally exhibits thermalization. Here…

Quantum Gases · Physics 2023-07-05 Quirin Hummel , Klaus Richter , Peter Schlagheck

When liquids are cooled sufficiently rapidly below their melting temperature, they may bypass crystalization and, instead, enter a long-lived metastable supercooled state that has long been the focus of intense research. Although they…

Statistical Mechanics · Physics 2023-12-05 Zohar Nussinov

Quantum many-body scars are atypical, highly nonthermal eigenstates embedded in a sea of thermal eigenstates that have been observed in, for example, kinetically constrained quantum many-body models. These special eigenstates are…

Strongly Correlated Electrons · Physics 2024-08-16 Wouter Buijsman , Yevgeny Bar Lev

We try to find conditions, the fulfillment of which allows a universe born in a metastable false vacuum state to survive and not to collapse. The conditions found are in the form of inequalities linking the depending on time $t$…

General Relativity and Quantum Cosmology · Physics 2023-02-08 K. Urbanowski

Quantum many-body scar states are exceptional finite energy density eigenstates in an otherwise thermalizing system that do not satisfy the eigenstate thermalization hypothesis. We investigate the fate of exact many-body scar states under…

Quantum Gases · Physics 2020-07-15 Cheng-Ju Lin , Anushya Chandran , Olexei I. Motrunich

We numerically show that metastable states, similar to the Quasi Stationary States found in the so called Hamiltonian Mean Field Model, are also present in a generalized model in which $N$ classical spins (rotators) interact through…

Statistical Mechanics · Physics 2015-06-24 Alessandro Campa , Andrea Giansanti , Daniele Moroni

Towers of quantum many-body scars are sets of highly-excited eigenstates of nonintegrable Hamiltonians whose dynamics shows athermal behavior and persistent oscillations in time. The preparation of such states is, however, challenging due…

Statistical Mechanics · Physics 2026-03-16 Lorenzo Gotta , Manas Kulkarni , Gabriele Perfetto

Metastability in open system dynamics describes the phenomena of initial relaxation to longlived metastable states before decaying to the asymptotic stable states. It has been predicted in continuous-time stochastic dynamics of both…

Quantum Physics · Physics 2024-04-10 Yuan-De Jin , Chu-Dan Qiu , Wen-Long Ma

Quantum many-body scars (QMBS) are exceptional energy eigenstates of quantum many-body systems associated with violations of thermalization for special non-equilibrium initial states. Their various systematic constructions require…

Strongly Correlated Electrons · Physics 2025-02-20 Alessio Lerose , Tommaso Parolini , Rosario Fazio , Dmitry A. Abanin , Silvia Pappalardi

We introduce the concept of stationary metastable states (SMS's) in the presence of another more stable state. The stationary nature allows us to study SMS's by using a restricted partition function formalism as advocated by Penrose and…

Statistical Mechanics · Physics 2007-05-23 P. D. Gujrati

Distinguishing whether a system supports alternate low-energy (locally stable) states -- stable (true vacuum) versus metastable (false vacuum) -- by direct observation can be difficult when the lifetime of the state is very long but…

Statistical Mechanics · Physics 2024-12-17 Gianluca Lagnese , Federica Maria Surace , Sid Morampudi , Frank Wilczek

Virtual states are a central concept in quantum mechanics. By definition, the probability of finding a quantum system in a virtual state should be vanishingly small at all times. In contrast to this notion, we report a phenomenon occurring…

Quantum scars are non-thermal eigenstates characterized by low entanglement entropy, initially detected in systems subject to nearest-neighbor Rydberg blockade, the so called PXP model. While most of these special eigenstates elude an…

We derive general results relating revivals in the dynamics of quantum many-body systems to the entanglement properties of energy eigenstates. For a D-dimensional lattice system of N sites initialized in a low-entangled and short-range…

Quantum Physics · Physics 2020-05-11 Álvaro M. Alhambra , Anurag Anshu , Henrik Wilming
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