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Atom losses occur naturally during cold atoms experiments. Since this phenomenon is unavoidable, it is important to understand its effect on the remaining atoms. Here we study a gas of hard-core bosons on a lattice subject to $K$-body…

Quantum Gases · Physics 2024-02-13 François Riggio , Lorenzo Rosso , Dragi Karevski , Jérôme Dubail

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

Constitutive equations are proposed for the relaxation of a glassy material in contact with a thermal reservoir. The dynamics of a single state variable, identified as an effective temperature accounts for the emergence of glassy behavior…

Disordered Systems and Neural Networks · Physics 2016-08-16 Anaël Lemaître

We analyse the effects of atom-atom collisions on collective laser cooling scheme. We derive a quantum Master equation which describes the laser cooling in presence of atom-atom collisions in the weak-condensation regime. Using such…

Quantum Physics · Physics 2009-10-31 Luis Santos , Maciej Lewenstein

The formation of correlations due to collisions in an interacting nucleonic system is investigated shortly after a disturbance. Results from one-time kinetic equations are compared with the Kadanoff and Baym two-time equation with…

Nuclear Theory · Physics 2007-05-23 K. Morawetz , H. S. Köhler

The response of cold atom gases to small periodic phase modulation of an optical lattice is discussed. For bosonic gases, the energy absorption rate is given, within linear response theory, by imaginary part of the current correlation…

Quantum Gases · Physics 2013-05-29 Akiyuki Tokuno , Thierry Giamarchi

We derive a model for the non-isothermal reaction-diffusion equation. Combining ideas from non-equilibrium thermodynamics with the energetic variational approach we obtain a general system modeling the evolution of a non-isothermal chemical…

Analysis of PDEs · Mathematics 2021-02-03 Chun Liu , Jan-Eric Sulzbach

We study the emergence over time of a universal, uniform distribution of quantum states supported on a finite subsystem, induced by projectively measuring the rest of the system. Dubbed deep thermalization, this phenomenon represents a form…

Quantum Physics · Physics 2023-01-04 Matteo Ippoliti , Wen Wei Ho

We formulate a wave atom optics theory of the Collective Atomic Recoil Laser, where the atomic center-of-mass motion is treated quantum mechanically. By comparing the predictions of this theory with those of the ray atom optics theory,…

Quantum Physics · Physics 2009-10-31 M. G. Moore , P. Meystre

Phase separation in a complex fluid with lamellar order has been studied in the case of cold thermal fronts propagating diffusively from external walls. The velocity hydrodynamic modes are taken into account by coupling the…

Soft Condensed Matter · Physics 2011-05-18 G. Gonnella , A. Lamura , A. Tiribocchi

We develop the kinetic theory of Hamiltonian systems with weak long-range interactions. Starting from the Klimontovich equation and using a quasilinear theory, we obtain a general kinetic equation that can be applied to spatially…

Statistical Mechanics · Physics 2009-11-13 Pierre-Henri Chavanis

We consider quenches of a quantum system that is prepared in a canonical equilibrium state of one Hamiltonian and then evolves unitarily in time under a different Hamiltonian. Technically, our main result is a systematic expansion of the…

Statistical Mechanics · Physics 2025-11-14 Lennart Dabelow

We generalize the theory of thermoelectrics to include coherent electron systems under adiabatic ac driving, accounting for quantum pumping of charge and heat as well as the associated work exchange between electron system and driving…

Mesoscale and Nanoscale Physics · Physics 2016-03-28 Maria Florencia Ludovico , Francesca Battista , Felix von Oppen , Liliana Arrachea

In this paper we consider the stochastic dynamics of a finite system of particles in a finite volume (Kac-like particle system) which annihilate with probability $\alpha \in (0,1)$ or collide elastically with probability $1-\alpha$. We…

Mathematical Physics · Physics 2020-03-18 Bertrand Lods , Alessia Nota , Federica Pezzotti

Linear response theory plays a prominent role in various fields of physics and provides us with extensive information about the thermodynamics and dynamics of quantum and classical systems. Here we develop a general theory for the linear…

Quantum Gases · Physics 2022-01-10 Doru Sticlet , Balázs Dóra , Cătălin Paşcu Moca

Quantifying the interaction between a system of interest and its ambient conditions, the memory effect links the states of two distinct Hamiltonians: one for the target system and one for the environment. In this paper, we propose the…

Computational Physics · Physics 2026-02-25 Heeyuen Koh , Shigeo Maruyama

Basing on the theory of Feynman's influence functional and its hierarchical equations of motion, we develop a linear response theory for quantum open systems. Our theory provides an effective way to calculate dynamical observables of a…

Mesoscale and Nanoscale Physics · Physics 2011-08-31 J. H. Wei , YiJing Yan

We describe a simple approach to the problem of incorporating the response time of an atom or ion being Doppler-cooled into the theory of the cooling process. The system being cooled does not in general respond instantly to the changing…

Atomic Physics · Physics 2018-09-28 H. Janacek , A. M. Steane , D. M. Lucas , D. N. Stacey

The linear response is investigated in a long-range Hamiltonian system from the view point of dynamics, which is described by the Vlasov equation in the limit of large population. Due to existence of the Casimir invariants of the Vlasov…

Statistical Mechanics · Physics 2017-06-07 Yoshiyuki Y. Yamaguchi , Daiki Sawai

Heat conduction in one-dimensional (1D) systems is studied based on an analytical S-matrix method, which is developed in the mesoscopic electronic transport theory and molecular dynamic (MD) simulations. It is found that heat conduction in…

Statistical Mechanics · Physics 2007-05-23 Xin Zhou , Mitsumasa Iwamoto
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