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We study quench dynamics of the Bose-Hubbard model by exact diagonalization. Initially the system is at thermal equilibrium and of a finite temperature. The system is then quenched by changing the on-site interaction strength $U$ suddenly.…

统计力学 · 物理学 2011-06-21 J. M. Zhang , C. Shen , W. M. Liu

We propose a new type of experimentally feasible quantum quench protocol in which a quantum system is prepared in a coherent, localized excited state of a Hamiltonian. During the evolution of this solitonic excitation, the microscopic…

量子气体 · 物理学 2016-03-10 Fabio Franchini , Andrey Gromov , Manas Kulkarni , Andrea Trombettoni

The dynamics of a quantum system following a sudden, highly non-adiabatic change of its control parameter (quantum quench) is studied with quasiclassical techniques. Recent works have shown, using exact quantum mechanical approach, that…

A crossover between different power-law relaxation behaviors of many-body periodically driven integrable systems has come to light in recent years. We demonstrate using integrable quantum systems, that similar kinds of dynamical transitions…

统计力学 · 物理学 2022-02-03 Aamir Ahmad Makki , Souvik Bandyopadhyay , Somnath Maity , Amit Dutta

The generic non-equilibrium evolution of a strongly interacting fermionic system is studied. For strong quenches, a collective collapse-and-revival phenomenon is found extending over the whole Brillouin zone. A qualitatively distinct…

强关联电子 · 物理学 2014-03-14 Simone A. Hamerla , Götz S. Uhrig

We study the out-of-equilibrium dynamics of one-dimensional quantum Ising-like systems, arising from sudden quenches of the Hamiltonian parameter $g$ driving quantum transitions between disordered and ordered phases. In particular, we…

统计力学 · 物理学 2024-05-16 Davide Rossini , Ettore Vicari

The real-time dynamics of the Fermi-Hubbard model, driven out of equilibrium by quenching or ramping the interaction parameter, is studied within the framework of the nonequilibrium self-energy functional theory. A dynamical impurity…

强关联电子 · 物理学 2016-06-03 Felix Hofmann , Martin Eckstein , Michael Potthoff

We study a nonequilibrium dynamics of a one-dimensional spin-imbalanced Fermi-Hubbard model following a quantum quench of on-site interaction, realizable, for example, in Feshbach-resonant atomic Fermi gases. We focus on the post-quench…

量子气体 · 物理学 2017-01-26 Xiao Yin , Leo Radzihovsky

We study the quench dynamics of the one-dimensional Hubbard model through the Quench Action formalism. We introduce a class of integrable initial states -- expressed as product states over two sites -- for which we can provide an exact…

统计力学 · 物理学 2022-11-23 Colin Rylands , Bruno Bertini , Pasquale Calabrese

We propose a method to study dynamical response of a quantum system by evolving it with an imaginary-time dependent Hamiltonian. The leading non-adiabatic response of the system driven to a quantum-critical point is universal and…

其他凝聚态物理 · 物理学 2015-05-28 C. De Grandi , A. Polkovnikov , A. W. Sandvik

The (Loschmidt) overlap between the state at different times after a quantum quench is attracting increasing interest, as it was recently shown that in the thermodynamic limit its logarithm per unit of length has a non-analytic behavior if…

统计力学 · 物理学 2013-09-09 Maurizio Fagotti

This colloquium gives an overview of recent theoretical and experimental progress in the area of nonequilibrium dynamics of isolated quantum systems. We particularly focus on quantum quenches: the temporal evolution following a sudden or…

In this review, we study some aspects of the non-equilibrium dynamics of quantum systems. In particular, we consider the effect of varying a parameter in the Hamiltonian of a quantum system which takes it across a quantum critical point or…

统计力学 · 物理学 2015-05-14 Shreyoshi Mondal , Diptiman Sen , K. Sengupta

Dynamical quantum phase transitions can occur following quenches in quantum systems when the rate function, a dynamical analogue of the free energy, becomes non-analytic at critical times. Here we exhaustively investigate in an exemplary…

统计力学 · 物理学 2023-10-20 Hadi Cheraghi , Nicholas Sedlmayr

After a quantum quench, a sudden change of parameters, generic many particle quantum systems are expected to equilibrate. A few collisions of quasiparticles are usually sufficient to establish approximately local equilibrium. Reaching…

量子气体 · 物理学 2014-05-14 Jonathan Lux , Jan Müller , Aditi Mitra , Achim Rosch

We consider the quantum evolution of a pair of interacting atoms in a three dimensional isotropic trap where the interaction strength is quenched from one value to another. Using exact solutions of the static problem we are able to evaluate…

量子气体 · 物理学 2021-01-19 A. D. Kerin , A. M. Martin

We unravel the nonequilibrium quantum dynamics of two harmonically confined bosons in one spatial dimension when performing an interaction quench from finite repulsive to attractive interaction strengths and vice versa. A closed analytical…

量子物理 · 物理学 2019-05-03 L. Budewig , S. I. Mistakidis , P. Schmelcher

In this work we revisit collapse and revival oscillations in superfluids suddenly quenched by strong local interactions for the case of a one-dimensional Bose-Hubbard model. As the main result we identify the inherent nonequilibrium quantum…

量子气体 · 物理学 2019-03-27 Mateusz Lacki , Markus Heyl

We study the relaxation dynamics of a nonequilibrium Luttinger liquid after a sudden interaction switch-on ("quench"), focussing on a double-step initial momentum distribution function. In the framework of the non-equilibrium bosonization,…

强关联电子 · 物理学 2013-12-16 Stéphane Ngo Dinh , Dmitry A. Bagrets , Alexander D. Mirlin

We study the Hamiltonian dynamics of the spherical spin model with fully-connected two-body interactions drawn from a Gaussian probability distribution. In the statistical physics framework, the potential energy is of the so-called $p=2$…