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Universality often emerges in low-energy equilibrium physics of quantum many-body systems, despite their microscopic complexity and variety. Recently, there has been a growing interest in studying far-from-equilibrium dynamics of quantum…

Strongly Correlated Electrons · Physics 2024-10-16 Yuchen Li , Tian-Gang Zhou , Ze Wu , Pai Peng , Shengyu Zhang , Riqiang Fu , Ren Zhang , Wei Zheng , Pengfei Zhang , Hui Zhai , Xinhua Peng , Jiangfeng Du

Understanding the non-equilibrium dynamics of quantum many-body systems remains one of the grand challenges of modern physics. In particular, increasing attention has been devoted to the emergence of non-equilibrium universality classes…

Quantum Physics · Physics 2025-12-22 Wenbo Zhou , Yuke Zhang , Pengfei Zhang

Quench dynamics is an active area of study encompassing condensed matter physics and quantum information, with applications to cold-atomic gases and pump-probe spectroscopy of materials. Recent theoretical progress in studying quantum…

Quantum Gases · Physics 2018-05-23 Aditi Mitra

Quantum critical (QC) phase transitions generally lead to the absence of quasiparticles. The resulting correlated quantum fluid, when thermally excited, displays rich universal dynamics. We establish non-perturbative constraints on the…

Strongly Correlated Electrons · Physics 2015-04-30 William Witczak-Krempa

Open many-body quantum systems have recently gained renewed interest in the context of quantum information science and quantum transport with biological clusters and ultracold atomic gases. A series of results in diverse setups is…

Quantum Gases · Physics 2015-11-10 G. Kordas , D. Witthaut , S. Wimberger

We calculate the time evolution of a far-from-equilibrium initial state of a non-relativistic ultracold Bose gas in one spatial dimension. The non-perturbative approximation scheme is based on a systematic expansion of the two-particle…

Other Condensed Matter · Physics 2008-11-26 T. Gasenzer , J. Berges , M. G. Schmidt , M. Seco

We discuss functional-integral approaches to far-from-equilibrium quantum many-body dynamics. Specific techniques considered include the two-particle-irreducible effective action and the real-time flow-equation approach. Different…

Quantum Gases · Physics 2015-03-17 Cédric Bodet , Matthias Kronenwett , Boris Nowak , Dénes Sexty , Thomas Gasenzer

Far-from-equilibrium situations are ubiquitous in nature. They are responsible for a wealth of phenomena, which are not simple extensions of near-equilibrium properties, ranging from fluid flows turning turbulent to the highly organized…

Quantum criticality provides an important route to revealing universal non-equilibrium behaviour. A canonical example of a quantum critical point is the Bose-Hubbard model, which we study under the application of an electric field. A…

Strongly Correlated Electrons · Physics 2015-06-18 A. M. Berridge , A. G. Green

We study the dynamical melting of "hot" one-dimensional many-body localized systems. As disorder is weakened below a critical value these non-thermal quantum glasses melt via a continuous dynamical phase transition into classical thermal…

Disordered Systems and Neural Networks · Physics 2015-09-23 Andrew C. Potter , Romain Vasseur , S. A. Parameswaran

A large number of multifaceted quantum transport processes in molecular systems and physical nanosystems can be treated in terms of quantum relaxation processes which couple to one or several fluctuating environments. A thermal equilibrium…

Statistical Mechanics · Physics 2007-05-23 Igor Goychuk , Peter Hanggi

Quasi-stationary far-from-equilibrium critical states of a two-component Bose gas are studied in two spatial dimensions. After the system has undergone an initial dynamical instability it approaches a non-thermal fixed point. At this…

Quantum Gases · Physics 2013-12-16 Markus Karl , Boris Nowak , Thomas Gasenzer

Lack of knowledge about the detailed many-particle motion on the microscopic scale is a key issue in any theoretical description of a macroscopic experiment. For systems at or close to thermal equilibrium, statistical mechanics provides a…

Statistical Mechanics · Physics 2016-03-03 Peter Reimann

Thermodynamic principles are often deceptively simple and yet surprisingly powerful. We show how a simple rule, such as the net flow of energy in and out of a moving atom under nonequilibrium steady state condition, can expose the…

Quantum Physics · Physics 2020-11-30 Daniel Reiche , Francesco Intravaia , Jen-Tsung Hsiang , Kurt Busch , Bei-Lok Hu

One of the most important concepts in non-equilibrium physics is relaxation. In the vicinity of a classical critical point, the relaxation time can diverge and result in a universal power-law for the relaxation dynamics; the emerging…

Strongly Correlated Electrons · Physics 2017-08-16 Zi Cai , Claudius Hubig , Ulrich Schollwöck

The dynamics of non-equilibrium closed quantum systems and their route to thermalization are of fundamental interest to several fields, from cosmology to particle physics. However, a comprehensive description of non-equilibrium phenomena…

We study the thermodynamics near the generic (density-driven) superfluid--Mott-insulator transition in the three-dimensional Bose-Hubbard model using the nonperturbative renormalization-group approach. At low energy the physics is…

Quantum Gases · Physics 2012-11-28 A. Rancon , N. Dupuis

Statistical mechanics is one of the most comprehensive theories in physics. From a boiling pot of water to the complex dynamics of quantum many-body systems it provides a successful connection between the microscopic dynamics of atoms and…

Quantum Gases · Physics 2016-10-06 B. Rauer , T. Schweigler , T. Langen , J. Schmiedmayer

We study theoretically the non-equilibrium dynamics of a two-dimensional (2D) uniform Bose superfluid following a quantum quench, from its short-time (prethermal) coherent dynamics to its long-time thermalization. Using a quantum…

Quantum Gases · Physics 2023-04-19 Clément Duval , Nicolas Cherroret

The theory of continuous phase transitions predicts the universal collective properties of a physical system near a critical point, which for instance manifest in characteristic power-law behaviours of physical observables. The…

Statistical Mechanics · Physics 2016-06-24 Matteo Marcuzzi , Emanuele Levi , Weibin Li , Juan P. Garrahan , Beatriz Olmos , Igor Lesanovsky