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Nearly all thermal radiation phenomena involving materials with linear response can be accurately described via semi-classical theories of light. Here, we go beyond these traditional paradigms to study a nonlinear system which, as we show,…

We study the resonant tunneling effect in a many-body Wannier-Stark system, realized by ultracold bosonic atoms in an optical lattice subjected to an external Stark force. The properties of the many-body system are effectively described in…

Quantum Gases · Physics 2014-01-08 C. A. Parra-Murillo , S. Wimberger

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 use thermalization indicators and numerical linked cluster expansions to probe the onset of many-body localization in a disordered one-dimensional hard-core boson model in the thermodynamic limit. We show that after equilibration…

Statistical Mechanics · Physics 2015-04-24 Baoming Tang , Deepak Iyer , Marcos Rigol

Isolated quantum many-body systems which thermalize under their own dynamics are expected to act as their own thermal baths, thereby bringing their local subsystems to thermal equilibrium. Here we show that the infinite-dimensional limit of…

Strongly Correlated Electrons · Physics 2025-03-25 Antonio Picano , Giulio Biroli , Marco Schirò

We present a quantum simulation method that follows the dynamics of out-of-equilibrium many-body systems of electrons and oscillators in real time. Its cost is linear in the number of oscillators and it can probe timescales from attoseconds…

Mesoscale and Nanoscale Physics · Physics 2016-01-28 Valerio Rizzi , Tchavdar N. Todorov , Jorge J. Kohanoff , Alfredo A. Correa

We study the problem of energy relaxation in a one-dimensional electron system. The leading thermalization mechanism is due to three-particle collisions. We show that for the case of spinless electrons in a single channel quantum wire the…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Tobias Micklitz , Alex Levchenko

We provide an overview of our numerical and analytical studies of isolated interacting quantum systems that are quenched out of equilibrium instantaneously. We describe the relaxation process to a new equilibrium and obtain lower bounds for…

Statistical Mechanics · Physics 2016-04-04 E. J. Torres-Herrera , Davida Kollmar , Lea F. Santos

We review selected advances in the theoretical understanding of complex quantum many-body systems with regard to emergent notions of quantum statistical mechanics. We cover topics such as equilibration and thermalisation in pure state…

Quantum Physics · Physics 2018-06-14 C. Gogolin , J. Eisert

We study the statistics of the work done, the fluctuation relations and the irreversible entropy production in a quantum many-body system subject to the sudden quench of a control parameter. By treating the quench as a thermodynamic…

Statistical Mechanics · Physics 2013-07-24 Ross Dorner , John Goold , Cecilia Cormick , Mauro Paternostro , Vlatko Vedral

The ground breaking investigation by Deutsch [Phys. Rev. A 43, 2046 (1991)] of how closed many-body quantum systems approach thermal equilibrium is revisited. It is shown how to carry out some important steps which were still missing in…

Statistical Mechanics · Physics 2021-02-12 Peter Reimann , Lennart Dabelow

We propose a protocol for effectively implementing complex-balanced thermalization via Markovian processes on a quantum-circuit platform that couples the system with engineered reservoir qubits. The non-orthogonality of qubit eigenstates…

Quantum Physics · Physics 2026-01-09 Yiting Mao , Peigeng Zhong , Haiqing Lin , Xiaoqun Wang , Shijie Hu

The thermalization of quark gluon plasma created in relativistic heavy-ion collisions is a crucial theoretical question in understanding the onset of hydrodynamics, and in a broad sense, a key step to the exploration of thermalization in…

High Energy Physics - Phenomenology · Physics 2024-12-03 Shile Chen , Li Yan , Shuzhe Shi

The process of thermalization in many-body systems is driven by complex interactions among sub-systems and with the surrounding environment. Here we lay the theoretical foundations for the active control of local thermal states in arbitrary…

Mesoscale and Nanoscale Physics · Physics 2022-12-27 Philippe Ben-Abdallah , Alejandro W. Rodriguez

We study the possible breakdown of quantum thermalization in a model of itinerant electrons on a one-dimensional chain without disorder, with both spin and charge degrees of freedom. The eigenstates of this model exhibit peculiar properties…

Statistical Mechanics · Physics 2017-02-20 James R. Garrison , Ryan V. Mishmash , Matthew P. A. Fisher

We study the dynamics of thermalization following a quantum quench using tensor-network methods. Contrary to the common belief that the rapid growth of entanglement and the resulting exponential growth of the bond dimension restricts…

Statistical Mechanics · Physics 2017-10-24 Eyal Leviatan , Frank Pollmann , Jens H. Bardarson , David A. Huse , Ehud Altman

Eigenstate thermalization has played a prominent role as a determiner of the validity of quantum statistical mechanics since von Neumann's early works on quantum ergodicity. However, its connection to the dynamical process of quantum…

Quantum Physics · Physics 2025-09-23 Amit Vikram

Thermalization is the dynamical process by which a many-body system evolves toward a thermal equilibrium state that maximizes its entropy. In certain cases, however, the establishment of thermal equilibrium is significantly slowed down and…

Quantum Gases · Physics 2022-09-07 Murad Abuzarli , Nicolas Cherroret , Tom Bienaimé , Quentin Glorieux

Application of strong dc electric field to an insulator leads to quantum tunneling of electrons from the valence band to the conduction band, which is a famous nonlinear response known as Landau-Zener tunneling. One of the growing interests…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Sota Kitamura , Naoto Nagaosa , Takahiro Morimoto

Localization marks the breakdown of thermalization in subregions of quantum many-body systems in the presence of sufficiently large disorder. In this paper, we use numerical techniques to study thermalization and localization in a many-body…

Statistical Mechanics · Physics 2023-03-07 Spasen Chaykov , Brenden Bowen , Nishant Agarwal