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This paper investigates the long time dynamics of interacting particle systems subject to singular interactions. We consider a microscopic system of $N$ interacting point particles, where the time evolution of the joint distribution…

Analysis of PDEs · Mathematics 2024-12-10 Alexis Béjar-López , Alain Blaustein , Pierre-Emmanuel Jabin , Juan Soler

In the context of unitary evolution of a generic quantum system interrupted at random times with non-unitary evolution due to interactions with either the external environment or a measuring apparatus, we adduce a general theoretical…

Quantum Physics · Physics 2022-05-10 Debraj Das , Sushanta Dattagupta , Shamik Gupta

Often quantum systems are not isolated and interactions with their environments must be taken into account. In such open quantum systems these environmental interactions can lead to decoherence and dissipation, which have a marked influence…

Quantum Physics · Physics 2016-11-14 Raymond Kapral

We simulate the dynamics of a quantum dot coupled to the single resonating mode of a metal nano-particle. Systems like this are known as metamolecules. In this study, we consider a time-dependent driving field acting onto the metamolecule.…

Quantum Physics · Physics 2016-10-21 Daniel A. Uken , Alessandro Sergi

We investigate the quantum dynamics of an atomic mixture composed of two multi-atom ensembles. Each ensemble is driven separately by a coherent laser field, respectively, and dampens via the interactions with the environmental vacuum…

Quantum Physics · Physics 2017-06-02 Luling Jin , Jörg Evers , Mihai Macovei

The present paper is devoted to the study of a simple model of interacting electrons in a random background. In a large interval $\Lambda$, we consider $n$ one dimensional particles whose evolution is driven by the Luttinger-Sy model, i.e.,…

Mathematical Physics · Physics 2014-08-26 Frédéric Klopp , Nikolaj Veniaminov

Quantum effects, prevalent in the microscopic scale, generally elusive in macroscopic systems due to dissipation and decoherence. Quantum phenomena in large systems emerge only when particles are strongly correlated as in superconductors…

Quantum Physics · Physics 2018-02-20 Junki Kim , Daeho Yang , Seung-hoon Oh , Kyungwon An

We propose a highly efficient mixed quantum-classical molecular dynamics scheme based on a solution of the quantum-classical Liouville equation (QCLE). By casting the equations of motion for the quantum subsystem and classical bath degrees…

Chemical Physics · Physics 2018-07-06 Junjie Liu , Gabriel Hanna

Ultra-cold atomic systems are among the most promising platforms that have the potential to shed light on the complex behavior of many-body quantum systems. One prominent example is the case of a dense ensemble illuminated by a strong…

We study cluster-cluster collisions in one-dimensional Fermi systems with particular emphasis on the non-trivial quantum effects of the collision dynamics. We adopt the Fermi-Hubbard model and the time-dependent density matrix…

Quantum Gases · Physics 2014-07-31 Jun'ichi Ozaki , Masaki Tezuka , Norio Kawakami

Obtaining the total wavefunction evolution of interacting quantum systems provides access to important properties, such as entanglement, shedding light on fundamental aspects, e.g. quantum energetics and thermodynamics, and guiding towards…

Quantum Physics · Physics 2022-02-02 Maria Maffei , Patrice A. Camati , Alexia Auffèves

Model calculations that include the effects of irreversible, environmental couplings on top of a coupled-channels dynamical description of the collision of two complex nuclei are presented. The Liouville-von Neumann equation for the…

Nuclear Theory · Physics 2009-11-13 Alexis Diaz-Torres , David Hinde , Mahananda Dasgupta , Gerard Milburn , Jeff Tostevin

We study the dynamics of a micromaser where the pumping atoms are strongly driven by a resonant classical field during their transit through the cavity mode. We derive a master equation for this strongly-driven micromaser, involving the…

Quantum Physics · Physics 2009-11-10 P. Lougovski , F. Casagrande , A. Lulli , B. -G. Englert , E. Solano , H. Walther

We investigate the simple one-dimensional driven model, the totally asymmetric exclusion process, coupled to mutually interactive Langmuir kinetics. This model is motivated by recent studies on clustering of motor proteins on microtubules.…

Biological Physics · Physics 2015-06-23 H. D. Vuijk , R. Rens , M. Vahabi , F. C. MacKintosh , A. Sharma

In this contribution we investigate quantum electrodynamical many-mode aspects by exploring the simplest possible situation in this context, namely the interaction of a single atom, modeled by a simple two-level system, with many-mode…

Quantum Physics · Physics 2010-05-04 M. Stobińska , G. Alber , G. Leuchs

How environments affect dynamics of quantum systems remains a central question in understanding transitions between quantum and classical phenomena and optimizing quantum technologies. A paradigm model to address the above question is the…

Quantum Gases · Physics 2025-07-03 Wen Liang , Zhenhua Yu

We introduce a generalized Dicke-like model to describe two-level systems coupled with a single bosonic mode. In addition, the two-level systems mutually interact via direct dipole-dipole interaction. We apply the model to an ensemble of…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 Marek Nečada , Jani-Petri Martikainen , Päivi Törmä

We study the quantum dynamics of many-body arrays of two-level atoms in a driven cavity subject to collective decay and interactions mediated by the cavity field. We work in the bad cavity limit accessible, for example, using long-lived…

Quantum Physics · Physics 2019-05-22 Diego Barberena , Robert J. Lewis-Swan , James K. Thompson , Ana Maria Rey

We study the quantum dynamics of a single mode/particle interacting inhomogeneously with a large number of particles and introduce an effective approach to find the accessible Hilbert space where the dynamics takes place. Two relevant…

Quantum Physics · Physics 2015-06-26 C. E. Lopez , H. Christ , J. C. Retamal , E. Solano

We describe an efficient numerical method for simulating the dynamics of interacting spin ensembles in the presence of dephasing and decay. The method builds on the discrete truncated Wigner approximation for isolated systems, which…

Quantum Physics · Physics 2022-02-01 Julian Huber , Ana Maria Rey , Peter Rabl
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