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A quantum dynamical model of two interacting spins, with chaotic and regular components, is investigated using a finite two-particles symmetrized basis. Chaotic eigenstates give rise to an equilibrium occupation number distribution in close…

chao-dyn · 物理学 2019-08-17 F. Borgonovi , I. Guarneri , F. M. Izrailev , G. Casati

We establish an analytical criterion for dynamical thermalization within harmonic systems, applicable to both classical and quantum models. Specifically, we prove that thermalization of various observables, such as particle energies in…

If and how an isolated quantum system thermalizes despite its unitary time evolution is a long-standing, open problem of many-body physics. The eigenstate thermalization hypothesis (ETH) postulates that thermalization happens at the level…

量子气体 · 物理学 2018-11-06 Anna Posazhennikova , Mauricio Trujillo-Martinez , Johann Kroha

We study the threshold for chaos and its relation to thermalization in the 1D mean-field Bose-Hubbard model, which in particular describes atoms in optical lattices. We identify the threshold for chaos, which is finite in the thermodynamic…

其他凝聚态物理 · 物理学 2009-01-23 Amy C. Cassidy , Douglas Mason , Vanja Dunjko , Maxim Olshanii

I review the Bose-Einstein condensation phase transition of dilute gases of cold atoms, for particle theorists acquainted with methods of field theory at finite temperature. I then discuss how the dependence of the phase transition…

高能物理 - 唯象学 · 物理学 2017-08-23 Peter Arnold

We formulate a self-consistent Hartree-Fock theory for a spin-1 Bose gas at finite temperature and apply it to characterizing the phase diagram. We find that spin coherence between thermal atoms in different magnetic sub-levels develops via…

量子气体 · 物理学 2015-06-04 Yuki Kawaguchi , Nguyen Thanh Phuc , P. Blair Blakie

We study first order phase transitions that occur when the temperature of the system increases and we identify the conditions that lead to super-heating, a phase where the system can heat up arbitrarily. First order phase transitions with…

高能物理 - 唯象学 · 物理学 2026-03-24 Giulio Barni , Andrea Tesi

We discuss thermalization in a multimode quantum cavity under unitary evolution. According to general principles, an isolated system with quadratic couplings does not exhibit thermalization. However, we find that three-wave perturbation,…

量子物理 · 物理学 2024-05-01 Jukka P. Pekola , Bayan Karimi

We experimentally study the energy-temperature relationship of a harmonically trapped Bose-Einstein condensate by transferring a known quantity of energy to the condensate and measuring the resulting temperature change. We consider two…

量子气体 · 物理学 2022-02-09 S. K. Ruddell , D. H. White , A. Ullah , D. Baillie , M. D. Hoogerland

We consider the model of self-interacting complex scalar fields with a rigid gauge invariance under an arbitrary gauge group $G$. In order to analyze the phenomenon of Bose-Einstein condensation finite temperature and the possibility of a…

高能物理 - 理论 · 物理学 2016-09-06 K. Kirsten , D. J. Toms

We explore the role of the initial state on the onset of thermalization in isolated quantum many-body systems after a quench. The initial state is an eigenstate of an initial Hamiltonian $\hat{H}_I$ and it evolves according to a different…

统计力学 · 物理学 2013-10-16 E. J. Torres-Herrera , Lea F. Santos

We report recent results on the role of instabilities in the isotropization and thermalization of a longitudinally expanding system of quantum fields.

高能物理 - 唯象学 · 物理学 2012-10-08 K. Dusling , T. Epelbaum , F. Gelis , R. Venugopalan

According to the eigenstate thermalization hypothesis (ETH), the eigenstate-to-eigenstate fluctuations of expectation values of local observables should decrease with increasing system size. In approaching the thermodynamic limit - the…

统计力学 · 物理学 2021-04-14 Goran Nakerst , Masudul Haque

We experimentally demonstrate how thermal properties in an non-equilibrium quantum many- body system emerge locally, spread in space and time, and finally lead to the globally relaxed state. In our experiment, we quench a one-dimensional…

量子气体 · 物理学 2013-10-16 Tim Langen , Remi Geiger , Maximilian Kuhnert , Bernhard Rauer , Joerg Schmiedmayer

We elucidate how the presence of higher-form symmetries affects the dynamics of thermalization in isolated quantum systems. Under reasonable assumptions, we analytically show that a $p$-form symmetry in a $(d+1)$-dimensional quantum field…

统计力学 · 物理学 2023-10-10 Osamu Fukushima , Ryusuke Hamazaki

We use holographic techniques to calculate the first thermal correction to the entanglement entropy of a cap-like region of a CFT defined on a sphere, successfully reproducing the field theory result. Since this is an order-one correction…

高能物理 - 理论 · 物理学 2015-02-27 Stefan Leichenauer

Thermalization in an isolated oscillating Bose-Einstein condensate in a disordered trap is investigated. We show Shannon entropy in $x$ or $p$ representation is the eligible one to describe the thermalization. Besides, we show that multiple…

量子气体 · 物理学 2023-02-10 Che-Hsiu Hsueh , Chi-Ho Cheng , Tzyy-Leng Horng , Wen-Chin Wu

We present a theory to describe thermalization mechanism for time-periodic finite isolated interacting quantum systems. The long time asymptote of natural observables in Floquet states is directly related to averages of these observables…

统计力学 · 物理学 2014-10-14 Dong E. Liu

We show that $SU_q(2)$ invariant systems in one and two dimensions exhibit Bose-Einstein condensation for $q >1$. For these systems there is a $\lambda$-transition at the critical temperature. The critical temperature and the gap in the…

凝聚态物理 · 物理学 2009-10-30 Marcelo R. Ubriaco

The inhomogeneous cooling state describing the hydrodynamic behavior of a freely evolving granular gas strongly confined between two parallel plates is studied, using a Boltzmann kinetic equation derived recently. By extending the idea of…

统计力学 · 物理学 2019-12-20 J. Javier Brey , M. I. García de Soria , P. Maynar