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In this paper we consider the Toda lattice $(\mathbf{p}(t);\mathbf{q}(t))$ at thermal equilibrium, meaning that its variables $(p_j)$ and $(e^{q_j-q_{j+1}})$ are independent Gaussian and Gamma random variables, respectively. We show under…

Probability · Mathematics 2026-05-20 Amol Aggarwal , Matthew Nicoletti

The regularized vacuum fluctuation related to a conformally coupled massless scalar field defined on a space-time with dynamical horizon is computed with respect a radially moving observer in a generic flat Friedmann-Robertson-Walker…

General Relativity and Quantum Cosmology · Physics 2014-04-23 Giovanni Acquaviva , Luca Bonetti , Luciano Vanzo , Sergio Zerbini

Using the space-time analogy, we compare the performance of quantum temporal imaging with its classical counterpart. We consider a temporal imaging scheme, based on the sum-frequency generation (SFG) time lens, but our results can be…

Quantum Physics · Physics 2019-06-26 Giuseppe Patera , Dmitri Horoshko , Mikhail Kolobov

Recent experiments with dense laser-driven atomic gases [G. Ferioli et al., arXiv:2207.10361 (2022)] have realized a many-body system which in the thermodynamic limit yields a so-called boundary time-crystal. This state of matter is…

Quantum Physics · Physics 2023-10-19 Albert Cabot , Leah Sophie Muhle , Federico Carollo , Igor Lesanovsky

We analytically describe the decay to equilibrium of generic observables of a non-integrable system after a perturbation in the form of a random matrix. We further obtain an analytic form for the time-averaged fluctuations of an observable…

Quantum Physics · Physics 2019-06-05 Charlie Nation , Diego Porras

A quantum system in contact with a heat bath undergoes quantum transitions between energy levels upon absorption or emission of energy quanta by the bath. These transitions remain virtual unless the energy of the system is measured…

Quantum Physics · Physics 2015-06-16 Michel Bauer , Denis Bernard

Spatial symmetries occur in combination with temporal symmetries in a wide range of physical systems in nature, including time-periodic quantum systems typically described by the Floquet formalism. In this context, groups formed by…

We study the fluctuation properties of a one-dimensional many-body quantum system composed of interacting bosons, and investigate the regimes where quantum noise or, respectively, thermal excitations are dominant. For the latter we develop…

Quantum Gases · Physics 2010-07-16 H. -P. Stimming , N. J. Mauser , J. Schmiedmayer , I. E. Mazets

We numerically simulate strongly correlated ultracold bosons coupled to a high-finesse cavity field, pumped by a laser beam in the transverse direction. Assuming a weak classical optical lattice added in the cavity direction, we model this…

Quantum Gases · Physics 2013-05-23 Y. -Q. Li , L. He , W. Hofstetter

Spatial diffusion of particles in periodic potential models has provided a good framework for studying the role of chaos in global properties of classical systems. Here a bidimensional "soft" billiard, classically modeled from an optical…

Statistical Mechanics · Physics 2022-05-16 Matheus J. Lazarotto , Iberê L. Caldas , Yves Elskens

Many complex systems can spontaneously oscillate under non-periodic forcing. Such self-oscillators are commonplace in biological and technological assemblies where temporal periodicity is needed, such as the beating of a human heart or the…

The dynamics of many-body systems spanning condensed matter, cosmology, and beyond is hypothesized to be universal when the systems cross continuous phase transitions. The universal dynamics is expected to satisfy a scaling symmetry of…

Quantum Gases · Physics 2016-11-15 Logan W. Clark , Lei Feng , Cheng Chin

The possibility is investigated that competition between fluctuations at different symmetry-related ordering wave vectors may affect the quantum phase transition between a fermi liquid and a longitudinal spin density wave state, in…

Strongly Correlated Electrons · Physics 2010-02-22 A. J. Millis

Using a \emph{gedanken} experiment providing presumably a minimal inaccuracy the uncertainty contributions to the space-time measurement are precisely evaluated for clock and mirror respectively. The resulting expression of minimal…

High Energy Physics - Phenomenology · Physics 2007-05-23 Michael Maziashvili

The theory of Gaussian quantum fluctuations around classical steady states in nonlinear quantum-optical systems (also known as standard linearization) is a cornerstone for the analysis of such systems. Its simplicity, together with its…

We numerically study the spatial diffusion of an atomic cloud experiencing Sisyphus cooling in a three-dimensional lin$\bot$lin optical lattice in a broad range of lattice parameters. In particular, we investigate the dependence on the size…

Atomic Physics · Physics 2007-05-23 Laurent Sanchez-Palencia , Peter Horak , Gilbert Grynberg

Recent studies have extensively explored chaotic dynamics in quantum optical systems through the mean-field approximation, which corresponds to an ideal, fluctuation-free scenario. However, the inherent sensitivity of chaos to initial…

Quantum Physics · Physics 2026-01-16 Mei-Qi Gao , Song-hai Li , Xun Li , Xingli Li , Jiong Cheng , Wenlin Li

A time-evolution of quantum meson fields is investigated in a linear sigma model by means of the time-dependent variational approach with a squeezed state. The chiral condensate, which is a mean field of the quantum meson fields, and…

High Energy Physics - Phenomenology · Physics 2009-11-07 Y. Tsue , A. Koike , N. Ikezi

We present a complete framework of stochastic thermodynamics for a single-mode linear optical cavity driven on resonance. We first show that the steady-state intra-cavity field follows the equilibrium Boltzmann distribution. The effective…

In this work, we study the quantum fluctuation dynamics in a Bose gas on a torus $\Lambda=(L\mathbb{T})^3$ that exhibits Bose-Einstein condensation, beyond the leading order Hartree-Fock-Bogoliubov (HFB) fluctuations. Given a Bose-Einstein…

Mathematical Physics · Physics 2023-09-12 Thomas Chen , Michael Hott