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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 develop a method for the calculation of vacuum expectation values of local operators in the Lieb-Liniger model. This method is based on a set of new identities obtained using integrability and effective theory (``bosonization'')…

Other Condensed Matter · Physics 2009-11-11 Vadim V. Cheianov , H. Smith , M. B. Zvonarev

Closed generic quantum many-body systems may fail to thermalize under certain conditions even after long times, a phenomenon called many-body localization (MBL). Numerous studies support the stability of the MBL phase in strongly disordered…

The Kondo effect of a single magnetic impurity embedded in the Lieb lattice is studied by the numerical renormalization group. When the band flatness is present in the local density of states, it quenches the participation of all dispersive…

Strongly Correlated Electrons · Physics 2018-04-16 Minh-Tien Tran , Thuy Thi Nguyen

Dimensionality plays an essential role in determining the nature and properties of a physical system. For quantum systems the impact of interactions and fluctuations is enhanced in lower dimensions, leading to a great diversity of genuine…

We consider the focusing 3D quantum many-body dynamic which models a dilute bose gas strongly confined in two spatial directions. We assume that the microscopic pair interaction is attractive and given by $a^{3\beta-1}V(a^{\beta}\cdot)$…

Analysis of PDEs · Mathematics 2017-06-05 Xuwen Chen , Justin Holmer

We investigate the thermodynamics of one-dimensional Bose gases in the strongly correlated regime. To this end, we prepare ensembles of independent 1D Bose gases in a two-dimensional optical lattice and perform high-resolution in situ…

Following Sutherland's work on one-dimensional integrable systems we formulate and study its two-dimensional version. Physically it expresses the absence of true 3-body forces among an assembly of N particles leaving exclusively effective…

High Energy Physics - Theory · Physics 2007-05-23 A. Azhari , T. T. Truong

We consider many-body quantum systems on a finite lattice, where the Hilbert space is the tensor product of finite-dimensional Hilbert spaces associated with each site, and where the Hamiltonian of the system is a sum of local terms. We are…

Mathematical Physics · Physics 2021-11-04 Matthew B. Hastings

We show that quantum mechanical entanglement can prevail even in noisy open quantum systems at high temperature and far from thermodynamical equilibrium, despite the deteriorating effect of decoherence. The system consists of a number N of…

Quantum Physics · Physics 2007-05-23 L. Hartmann , W. Dür , H. -J. Briegel

We construct a collision model description of the thermalization of a finite many-body system by using careful derivation of the corresponding Lindblad-type master equation in the weak coupling regime. Using the example of two level target…

Quantum Physics · Physics 2019-12-20 Onat Arısoy , Steve Campbell , Özgür E. Müstecaplıoğlu

We analyze the out-of-equilibrium dynamics of a quantum particle coupled to local magnetic degrees of freedom that undergo a classical phase transition. Specifically, we consider a two-dimensional tight-binding model that interacts with a…

Disordered Systems and Neural Networks · Physics 2022-07-13 Giuseppe De Tomasi , Oliver Hart , Cecilie Glittum , Claudio Castelnovo

We investigate the equilibration and thermalization properties of quantum systems interacting with a finite dimensional environment. By exploiting the concept of time averaged states, we introduce a completely positive map which allows to…

Quantum Physics · Physics 2012-11-27 A. Smirne , E. -M. Laine , H. -P. Breuer , J. Piilo , B. Vacchini

We argue that, because of the quantum-entanglement, the local physics of the strongly-correlated materials at zero temperature is described in very good approximation by a simple generalized Gibbs distribution, which depends on a relatively…

Strongly Correlated Electrons · Physics 2017-02-22 Nicola Lanatà , Hugo U. R. Strand , Yongxin Yao , Gabriel Kotliar

Many-body systems relaxing to equilibrium can exhibit complex dynamics even if their steady state is trivial. At low temperatures or high densities their evolution is often dominated by steric hindrances affecting particle motion [1,2,3].…

Statistical Mechanics · Physics 2016-05-10 M. M. Valado , C. Simonelli , M. D. Hoogerland , I. Lesanovsky , J. P. Garrahan , E. Arimondo , D. Ciampini , O. Morsch

We employ metastable ultracold $^{173}$Yb atoms to study dynamics in the 1D dissipative Fermi-Hubbard model experimentally and theoretically, and observe a complete inhibition of two-body losses after initial fast transient dynamics. We…

Two-body dissipation due to chemical reactions occurs in both ultracold fermionic and bosonic molecular gases. Despite recent advances in achieving quantum degeneracy, the loss dynamics are typically described phenomenologically using rate…

Quantum Gases · Physics 2025-06-10 Xin-Yuan Gao , Yangqian Yan

Analysis of three-particle correlations is performed on the basis of simulation data of atomic dynamics in liquid and amorphous aluminium. A three-particle correlation function is introduced to characterize the relative positions of various…

Statistical Mechanics · Physics 2017-04-05 Bulat N. Galimzyanov , Anatolii V. Mokshin

We address the dynamics induced by collective atomic recoil in a Bose-Einstein condensate in presence of radiation losses and atomic decoherence. In particular, we focus on the linear regime of the lasing mechanism, and analyze the effects…

Quantum Physics · Physics 2009-11-10 Mary M. Cola , Matteo G. A. Paris , Nicola Piovella

A simple approximation which captures some non-perturbative aspects of the one electron Green function of strongly interacting Fermion systems is developed. It provides a way to go one step beyond the usual dilute limit since…

Condensed Matter · Physics 2016-08-31 Ted Hsu , Benoit Doucot
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