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We review here the quantum mechanics of some noncommutative theories in which no state saturates simultaneously all the non trivial Heisenberg uncertainty relations. We show how the difference of structure between the Poisson brackets and…

High Energy Physics - Theory · Physics 2009-11-10 Musongela Lubo

We study the emergence of quasicrystal configurations produced purely by quantum fluctuations in the ground-state phase diagram of interacting bosonic systems. By using a variational mean-field approach, we determine the relevant features…

Quantum Gases · Physics 2025-02-25 A. Mendoza-Coto , R. Turcati , V. Zampronio , R. Díaz-Méndez , T. Macrì , F. Cinti

For a simple model of chaotic dynamical systems with a large number of degrees of freedom, we find that there is an ensemble of unstable periodic orbits (UPOs) with the special property that the expectation values of macroscopic quantities…

Chaotic Dynamics · Physics 2009-11-10 Mitsuhiro Kawasaki , Shin-ichi Sasa

The fluctuations of macroscopic observables in quantum systems which are in a nonequilibrium steady state are studied rigorously in the thermodynamic limit. In particular, the nonequilibrium steady state (NESS) of a quantum spin system that…

Mathematical Physics · Physics 2007-05-23 Walid K. Abou Salem

Recent progress in experimental techniques such as single particle tracking allows to analyze both nonequilibrium properties and approach to equilibrium. There are examples showing that processes occurring at finite timescales are…

Statistical Mechanics · Physics 2025-01-24 I. G. Marchenko , I. I. Marchenko , J. Łuczka , J. Spiechowicz

Analyses of quasi-periodic oscillations (QPOs) are important to understanding the dynamic behaviour in many astrophysical objects during transient events like gamma-ray bursts, solar flares, magnetar flares and fast radio bursts.…

Instrumentation and Methods for Astrophysics · Physics 2022-08-31 M. Hübner , D. Huppenkothen , P. D. Lasky , A. R. Inglis , C. Ick , D. W. Hogg

We apply a Gaussian state formalism to track fluctuating perturbations that act on the position and momentum quadrature variables of a harmonic oscillator. Following a seminal proposal by Tsang and Caves [Phys. Rev. Lett. 105, 123601…

Quantum Physics · Physics 2022-12-12 Jesper Hasseriis Mohr Jensen , Klaus Mølmer

Spectral statistics and correlations are the usual way to study the presence or absence of quantum chaos in quantum systems. We present our investigation on the study of the fluctuation average and variance of certain correlation functions…

Quantum Physics · Physics 2025-02-11 Tanay Pathak

We calculate exactly the quantum mechanical, temporal Wigner quasiprobability density for a single-mode, degenerate parametric amplifier for a system in the Gaussian state, viz., a displaced-squeezed thermal state. The Wigner function…

Quantum Physics · Physics 2021-03-16 Moorad Alexanian

Thermalization of chaotic quantum many-body systems under unitary time evolution is related to the growth in complexity of initially simple Heisenberg operators. Operator growth is a manifestation of information scrambling and can be…

Strongly Correlated Electrons · Physics 2019-09-19 Shenglong Xu , Brian Swingle

Non-classical state generation is an important component throughout experimental quantum science for quantum information applications and probing the fundamentals of physics. Here, we investigate permutations of quantum non-demolition…

Quantum Physics · Physics 2019-10-02 T. J. Milburn , M. S. Kim , M. R. Vanner

An experimental study of current fluctuations through a tunable transmission barrier, a quantum point contact, are reported. We measure the probability distribution function of transmitted charge with precision sufficient to extract the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 G. Gershon , Yu. Bomze , E. V. Sukhorukov , M. Reznikov

Degenerate optomechanical parametric oscillators are optical resonators in which a mechanical degree of freedom is coupled to a cavity mode that is nonlinearly amplified via parametric down-conversion of an external pumping laser. Below a…

In this work we study the non-Markovian behaviour of a qubit coupled to an environment in which the corresponding classical dynamics change from integrable to chaotic. We show that in the transition region, where the dynamics has both…

Quantum Physics · Physics 2014-03-03 I. Garcia-Mata , Carlos Pineda , Diego A. Wisniacki

Squeezing experiments which are capable of creating a minimum uncertainty state during the nonlinear process, for example optical parametric amplification, are commonly used to produce light far below the quantum noise limit. This report…

Quantum Physics · Physics 2009-01-22 C. Gabriel , J. Janousek , H. -A. Bachor

Phase fluctuations determine the low-energy properties of quantum condensates. However, at the condensation threshold, both density and phase fluctuations are relevant. While strong emphasis has been given to the investigation of phase…

Universal properties of entangled many-body states are controlled by their symmetry and quantum fluctuations. By magnetic-field tuning of the spin-orbital degeneracy in a Kondo-correlated quantum dot, we have modified quantum fluctuations…

Slow fluctuations of a qubit frequency are one of the major problems faced by quantum computers. To understand their origin it is necessary to go beyond the analysis of their spectra. We show that characteristic features of the fluctuations…

Quantum Physics · Physics 2024-01-11 Filip Wudarski , Yaxing Zhang , M. I. Dykman

We consider high order current cumulants in disordered systems out of equilibrium. They are interesting and reveal information which is not easily exposed by the traditional shot noise. Despite the fact that the dynamics of the electrons is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. B. Gutman , Yuval Gefen , A. D. Mirlin

This Report explores recent advances in our understanding of the physics of open quantum systems (OQSs) which consist of some localized region that is coupled to an external environment. Examples of such systems may be found in numerous…

Quantum Physics · Physics 2015-11-06 I. Rotter , J. P. Bird