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We investigate the difference between classical and quantum dynamics of coupled magnetic dipoles. We prove that in general the dynamics of the classical interaction Hamiltonian differs from the corresponding quantum model, regardless of the…

Quantum Physics · Physics 2009-11-07 G. J. Milburn , R. Laflamme , B. C. Sanders , E. Knill

Two classical, damped and driven spin oscillators with an isotropic exchange interaction are considered. They represent a nontrivial physical system whose equations of motion are shown to allow for an analytic treatment of local codimension…

chao-dyn · Physics 2016-08-14 B. Rumpf , H. Sauermann

A phenomenological theory is developed, that accounts for the collective dynamics of a Bose-Einstein condensate of magnons. In terms of such description we discuss the nature of spontaneous macroscopic interference between magnon clouds,…

Mesoscale and Nanoscale Physics · Physics 2014-07-03 Roberto E. Troncoso , Álvaro S. Núñez

The entanglement between two weakly coupled bosonic Josephson junctions is studied in relation to the classical mixed phasespace structure of the system, containing symmetry-related regular islands separated by chaos. The symmetry-resolved…

Quantum Physics · Physics 2023-01-18 Amichay Vardi

In this paper, we consider a system consisting of two capacitively coupled superconducting islands via Josephson junctions. We show that it can be reduced to two coupling harmonic oscillators under certain conditions, and solved exactly in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Mou Yang , Le-Man Kuang

We provide a detailed comparison between the dynamics of high-temperature spatiotemporal correlation functions in quantum and classical spin models. In the quantum case, our large-scale numerics are based on the concept of quantum…

Statistical Mechanics · Physics 2022-12-01 Tjark Heitmann , Jonas Richter , Fengping Jin , Kristel Michielsen , Hans De Raedt , Robin Steinigeweg

This paper concerns the classical dynamics of three coupled rotors: equal masses moving on a circle subject to attractive cosine inter-particle potentials. It is a simpler variant of the gravitational three-body problem and also arises as…

Chaotic Dynamics · Physics 2019-12-24 Govind S. Krishnaswami , Himalaya Senapati

We show that the spatial dimensionality of the quantum critical point associated with Bose--Einstein condensation at T=0 is reduced when the underlying lattice comprises a set of layers coupled by a frustrating interaction. For this…

Strongly Correlated Electrons · Physics 2009-11-13 J. Schmalian , C. D. Batista

The interplay between coherent tunnel coupling and on-site interactions in dissipation-free bosonic systems has lead to many spectacular observations, ranging from the demonstration of number-phase uncertainty relation to quantum phase…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 Dario Gerace , Hakan E. Tureci , A. Imamoglu , Vittorio Giovannetti , Rosario Fazio

Starting from a many-body classical system governed by a trace-form entropy we derive, in the stochastic quantization picture, a family of non linear and non-Hermitian Schroedinger equations describing, in the mean filed approximation, a…

Statistical Mechanics · Physics 2007-05-23 A. M. Scarfone

We present experiments revealing the competing effect of quantum fluctuations and of a coherent seed in the dynamics of a spin-1 Bose-Einstein condensate, and discuss the relevance of a mean-field description of our system. We first explore…

Quantum Gases · Physics 2021-03-10 Bertrand Evrard , An Qu , Jean Dalibard , Fabrice Gerbier

We explore the interplay between tunneling and interatomic interactions in the dynamics of a bosonic Josephson junction. We tune the scattering length of an atomic $^{39}$K Bose-Einstein condensate confined in a double-well trap to…

Using the quantum effective action in the Schwinger-Keldysh formalism, we derive quantum corrections to the semiclassical Langevin dynamics of a dissipative system governed by a macroscopic degree of freedom. We discuss the connection with…

Quantum Gases · Physics 2026-05-20 Cesare Vianello , Andrea Bardin , Luca Salasnich

We report on the experimental characterization of a spatially extended Josephson junction realized with a coherently-coupled two-spin-component Bose-Einstein condensate. The cloud is trapped in an elongated potential such that that…

Quantum Gases · Physics 2021-09-08 A. Farolfi , A. Zenesini , R. Cominotti , D. Trypogeorgos , A. Recati , G. Lamporesi , G. Ferrari

Double-well systems loaded with one, two, or many quantum particles give rise to intriguing dynamics, ranging from Josephson oscillation to self-trapping. This work presents theoretical and experimental results for two distinct double-well…

Quantum Gases · Physics 2020-06-25 Q. Guan , T. M. Bersano , S. Mossman , P. Engels , D. Blume

We develop an approach based on stochastic quantum trajectories for an incoherently pumped system of interacting bosons relaxing their energy in a thermal reservoir. Our approach enables the study of the versatile coherence properties of…

Quantum Gases · Physics 2015-09-17 H. Flayac , I. G. Savenko , M. Möttönen , T. Ala-Nissila

We study the long time coherence dynamics of a two-mode Bose-Hubbard model in the Josephson interaction regime, as a function of the relative phase and occupation imbalance of an arbitrary coherent preparation. We find that the variance of…

Quantum Gases · Physics 2015-06-04 Christine Khripkov , Doron Cohen , Amichay Vardi

We develop a consistent perturbation theory in quantum fluctuations around the classical evolution of a system of interacting bosons. The zero order approximation gives the classical Gross-Pitaevskii equations. In the next order we recover…

Statistical Mechanics · Physics 2007-05-23 Anatoli Polkovnikov

The quantum dynamics of two-level systems under classical oscillator heat bath is mapped to the classical one of a charged particle under harmonic oscillator potential plus a magnetic field in a plane. The behavior of eigenstates and…

Condensed Matter · Physics 2008-02-03 Mo-lin Ge , Lei Wang

We study the beyond-mean-field Josephson dynamics of the relative phase between two coupled macroscopic quantum systems. Using a covariant background field method, we derive the one-loop only-phase quantum effective action and the…

Quantum Gases · Physics 2025-11-11 Cesare Vianello , Sofia Salvatore , Luca Salasnich
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