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We obtain the exact ground state and a part of the excitation spectrum in one dimension on a line and the exact ground state on a circle in a case where N particles are interacting via nearest- and next-to-nearest neighbour interactions.…

Condensed Matter · Physics 2009-10-31 Guy Auberson , Sudhir R. Jain , Avinash Khare

In this work we study the quantum dynamics emerging when quantum emitters exchange excitations with a two-dimensional bosonic bath with hexagonal symmetry. We show that a single quantum emitter spectrally tuned to the middle of the band…

Quantum Physics · Physics 2018-04-18 A. González-Tudela , J. I. Cirac

We investigate the non-equilibrium dynamics of a class of isolated one-dimensional systems possessing two degenerate ground states, initialized in a low-energy symmetric phase. We report the emergence of a time-scale separation between fast…

Statistical Mechanics · Physics 2020-04-01 Alvise Bastianello , Alessio Chiocchetta , Leticia F. Cugliandolo , Andrea Gambassi

The collapse of a collisionless self-gravitating system, with the fast achievement of a quasi-stationary state, is driven by violent relaxation, with a typical particle interacting with the time-changing collective potential. It is…

Astrophysics of Galaxies · Physics 2017-09-21 Leandro Beraldo e Silva , Walter de Siqueira Pedra , Laerte Sodré , Eder Perico , Marcos Lima

Motivated by recent cold atom experiments in optical lattices, we consider a lattice version of the Landau-Zener problem. Every single site is described by a Landau-Zener problem, but due to particle tunnelling between neighboring lattice…

Quantum Physics · Physics 2015-01-29 Jonas Larson

We consider the quantum evolution of a pair of interacting atoms in a three dimensional isotropic trap where the interaction strength is quenched from one value to another. Using exact solutions of the static problem we are able to evaluate…

Quantum Gases · Physics 2021-01-19 A. D. Kerin , A. M. Martin

We study the non-equilibrium quench dynamics from free to hard-core one-dimensional bosons in the presence of a hard-wall confining potential. We characterise the density profile and the two-point fermionic correlation function in the…

Quantum Gases · Physics 2014-11-17 Paolo P. Mazza , Mario Collura , Márton Kormos , Pasquale Calabrese

We present kinetic equations that describe the evolution of O(N)-symmetric real scalar quantum fields out of thermal equilibrium in a systematic nonperturbative approximation scheme. This description starts from the 1/N-expansion of the 2PI…

High Energy Physics - Phenomenology · Physics 2007-05-23 Markus Michael Muller

In two-dimensional tissues, such as developing germ layers, pair-wise forces (or active stresses) arise from the contractile activity of the cytoskeleton, with dissipation provided by the three-dimensional surroundings. We show analytically…

Soft Condensed Matter · Physics 2025-07-17 Yann-Edwin Keta , Silke Henkes

Recent advances in optical Feshbach resonance technique have enabled the experimental investigation of atomic gases with time-dependent interaction. In this work, we study the many-body dynamics of weakly interacting bosons subject with an…

Quantum Gases · Physics 2021-08-11 Yanting Cheng , Zhe-Yu Shi

Ising models, and the physical systems described by them, play a central role in generating entangled states for use in quantum metrology and quantum information. In particular, ultracold atomic gases, trapped ion systems, and Rydberg atoms…

In the relaxation evolution of finite weakly-coupled star clusters, stars undergo stochastic acceleration due to the `discreteness' of the clusters (the finiteness of the total stellar number), in addition to fundamental two-body relaxation…

Astrophysics of Galaxies · Physics 2021-03-11 Yuta Ito

The process of relaxation of a system of particles interacting with long-range forces is relevant to many areas of Physics. For obvious reasons, in Stellar Dynamics much attention has been paid to the case of 1/r^2 force law. However,…

Astrophysics of Galaxies · Physics 2015-05-27 P. Di Cintio , L. Ciotti

The localization in a disordered system of $N$ interacting spins coupled by the long-range anisotropic interaction $1/R^{\alpha}$ is investigated using a finite size scaling in a $d=1$ -dimensional system for $N=8, 10, 12, 14$. The results…

Disordered Systems and Neural Networks · Physics 2015-03-11 Alexander L. Burin

The slow dynamics for a colloidal suspension of particles interacting with a hard-core repulsion complemented by a short-ranged attraction is discussed within the frame of mode-coupling theory for ideal glass transitions for parameter…

Soft Condensed Matter · Physics 2007-05-23 Matthias Sperl

While isolated quantum systems generally thermalize after long-time evolution, there are several exceptions defying thermalization. A notable mechanism of such nonergodicity is the Hilbert space fragmentation (HSF), where the Hamiltonian…

Starting from the Liouville equation, and using a BBGKY-like hierarchy, we derive a kinetic equation for the point vortex gas in two-dimensional (2D) hydrodynamics, taking two-body correlations and collective effects into account. This…

Statistical Mechanics · Physics 2015-05-30 Pierre-Henri Chavanis

We demonstrate that an extended picture of kinetic constraints in glass-forming liquids is sufficient to explain dynamic anomalies observed in dense suspensions of strongly attracting colloidal particles. We augment a simple model of…

Statistical Mechanics · Physics 2009-11-10 Phillip L. Geissler , David R. Reichman

We solve the nonequilibrium dynamics of qubits or quantum spin chains (s=1/2) modeled by an anisotropic XY Hamiltonian, when the initial condition is prepared as a spatially inhomogeneous state of the magnetization. Infinite systems are…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. Tygel , J. G. Carvalho , G. G. Cabrera

We consider the non--equilibrium dynamics of a chain of classical rotators coupled at its edges to an external reservoir at zero temperature. We find that the energy is released in a strongly discontinuous fashion, with sudden jumps…

Other Condensed Matter · Physics 2009-11-11 Maria Eleftheriou , Stefano Lepri , Roberto Livi , Francesco Piazza