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We provide a rigorous derivation of nonlinear Gibbs measures in two and three space dimensions, starting from many-body quantum systems in thermal equilibrium. More precisely, we prove that the grand-canonical Gibbs state of a large bosonic…

Analysis of PDEs · Mathematics 2020-10-14 Mathieu Lewin , Phan Thành Nam , Nicolas Rougerie

Quantum chaos is usually characterized through its statistical implications on the energy spectrum of a given system. In this work we propose a decoherent mechanism for sensing quantum chaos. The chaotic nature of a many-body quantum system…

Quantum Physics · Physics 2021-04-14 Nicolás Mirkin , Diego Wisniacki , Paula I. Villar , Fernando C. Lombardo

We study one-dimensional quantum gases in continuous space with cavity-mediated infinite-range interactions using variational and diffusion Monte Carlo methods. Starting from the exact two-body solution, we construct a non-translationally…

We investigate the full quantum evolution of ultracold interacting bosonic atoms on a chain and coupled to an optical cavity. Extending the time-dependent matrix product state techniques and the many-body adiabatic elimination technique to…

Quantum Gases · Physics 2020-09-02 Catalin-Mihai Halati , Ameneh Sheikhan , Helmut Ritsch , Corinna Kollath

While many studies point towards the existence of many-body localization (MBL) in one dimension, the fate of higher-dimensional strongly disordered systems is a topic of current debate. The latest experiments as well as several recent…

Disordered Systems and Neural Networks · Physics 2024-05-13 Joey Li , Amos Chan , Thorsten B. Wahl

The quantum mechanical decay of two or more overlapped resonances in a common continuum is largely influenced by Fano interference, leading to important phenomena such as the existence of bound states in the continuum, fractional decay and…

Quantum Physics · Physics 2020-12-15 Stefano Longhi

In a parameter regime for which the mean-field (Gross-Pitaevskii) dynamics becomes chaotic, mesoscopic quantum superpositions in phase space can occur in a double-well potential which is shaken periodically. For experimentally realistic…

Quantum Gases · Physics 2010-09-01 Bettina Gertjerenken , Stephan Arlinghaus , Niklas Teichmann , Christoph Weiss

We show using a realistic Hamiltonian-type model that definite outcomes of quantum measurements may emerge from quantum evolution of pure states, i.e quantum dynamics provides a deterministic collapse of the wavefunction in a quantum…

Quantum Physics · Physics 2008-09-10 Håkon Brox , Kåre Olaussen , Anh Kiet Nguyen

We study by quantum Monte Carlo simulations the ground state of a harmonically confined dipolar Bose gas with aligned dipole moments, and with the inclusion of a repulsive two-body potential of varying range. Two different limits can be…

Statistical Mechanics · Physics 2017-07-27 Fabio Cinti , Massimo Boninsegni

We study a system in which the quantum dynamics of electrons depend on the particle density in their neighborhood. For any on-site repulsive interaction, we show that the exact two-body and three-body ground states are bound states. We also…

Strongly Correlated Electrons · Physics 2009-01-24 J. Vidal , B. Doucot

We study a homogeneous Bose gas with purely repulsive forces. Using the Kac scaling of the binary potential we derive analytically the form of the thermodynamic functions of the gas for small but finite values of the scaling parameter in…

Statistical Mechanics · Physics 2009-11-10 Ph. A. Martin , J. Piasecki

The zero-range potential is customarily employed in various mean-field calculations of many-body systems in atomic and nuclear physics within, correspondingly, Gross-Pitaevskii and Skyrme-Hartree-Fock approach. We argue, however, that a…

Quantum Physics · Physics 2009-11-07 D. V. Fedorov , A. S. Jensen

Most non-relativistic interacting quantum many-body systems, such as atomic and molecular ensembles or materials, are naturally described in terms of continuous-space Hamiltonians. The simulation of their ground-state properties on digital…

Quantum Physics · Physics 2024-09-11 Friederike Metz , Gabriel Pescia , Giuseppe Carleo

Ultracold atoms provide an ideal system for the realization of quantum technologies, but also for the study of fundamental physical questions such as the emergence of decoherence and classicality in quantum many-body systems. Here, we study…

Quantum Physics · Physics 2015-03-13 Holger Hennig , Dirk Witthaut , David K. Campbell

Many-body long-range interacting systems can remain approximately in a quasi-stationary state far-from-thermodynamic equilibrium. These states are typically characterized by a pair of counter-propagating density clusters, or by a single…

Pattern Formation and Solitons · Physics 2022-12-20 Danilo M. Rivera , Roberto E. Navarro

A model that gives rise to vacuum bubbles is considered where the domain wall field interacts with another real scalar field, resulting in the formation of domain ribbons within the host domain wall. Ribbon-antiribbon annihilations produce…

High Energy Physics - Theory · Physics 2013-04-17 J. R. Morris

Disordered quantum many-body systems pose one of the central challenges in condensed matter physics and quantum information science, as their dynamics are generally intractable for classical computation. Many-body localization (MBL),…

The system of N particles moving on a circle and interacting via a global repulsive cosine interaction is well known to display spatially inhomogeneous structures of extraordinary stability starting from certain low energy initial…

Statistical Mechanics · Physics 2009-11-07 F. Leyvraz , M. -C. Firpo , S. Ruffo

The one-body reduced density matrix $\gamma$ plays a fundamental role in describing and predicting quantum features of bosonic systems, such as Bose-Einstein condensation. The recently proposed reduced density matrix functional theory for…

Quantum Physics · Physics 2022-01-19 Jonathan Schmidt , Matteo Fadel , Carlos L. Benavides-Riveros

In quantum many-body systems with local interactions, the effects of boundary conditions are considered to be negligible, at least for sufficiently large systems. Here we show an example of the opposite. We consider a spin chain with two…

Statistical Mechanics · Physics 2020-12-03 Vanja Marić , Salvatore Marco Giampaolo , Fabio Franchini
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