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We investigate the long-range phase coherence of homogeneous and trapped Bose gases as a function of the geometry of the trap, the temperature, and the mean-field interactions in the weakly interacting limit. We explicitly take into account…

Condensed Matter · Physics 2014-10-13 U. Al Khawaja , N. P. Proukakis , J. O. Andersen , M. W. J. Romans , H. T. C. Stoof

Stochastic thermodynamics is the field of study relating fluctuations in stochastic systems to thermodynamic quantities. The total entropy production (EP), is central to the thermodynamic classification of systems. Non-equilibrium systems…

Statistical Mechanics · Physics 2025-08-05 Lars Torbjørn Stutzer

A time series is a sequence of data items; typical examples are videos, stock ticker data, or streams of temperature measurements. Quite some research has been devoted to comparing and indexing simple time series, i.e., time series where…

Computational Complexity · Computer Science 2018-06-04 Jörg P. Bachmann , Johann-Christoph Freytag , Benjamin Hauskeller , Nicole Schweikardt

Using a global equation of state, empirically derived by Luding, we accurately model the density profile of a two-dimensional hard sphere system with diameter D and mass m under gravity with a given temperature T [Physica A, 271, 192…

Materials Science · Physics 2010-11-24 Alison E. Koser , Paul V. Quinn

We study several variations of the question of minimum-error discrimination of thermal states. Besides of providing the optimal values for the probability of error, we also characterize the optimal measurements. For the case of a fixed…

Quantum Physics · Physics 2022-01-06 Seyed Arash Ghoreishi , Mario Ziman

A new statistical approach is presented to study the thermal instability process of optically thin unmagnetized plasma. In this approach the time evolution of mass distribution function over temperature is calculated. This function…

Astrophysics · Physics 2009-10-30 A. F. Illarionov , I. V. Igumenshchev

In the framework of Lindblad theory for open quantum systems, we calculate the entropy of a damped quantum harmonic oscillator which is initially in a quasi-free state. The maximally predictable states are identified as those states…

Quantum Physics · Physics 2016-09-08 Gh. -S. Paraoanu

When studying the geometry of quantum states, it is acknowledged that mixed states can be distinguished by infinitely many metrics. Unfortunately, this freedom causes metric-dependent interpretations of physically significant geometric…

Quantum Physics · Physics 2024-02-07 Paul M. Alsing , Carlo Cafaro , Domenico Felice , Orlando Luongo

An assumption of smooth response to small parameter changes, of statistics or long-time averages of a chaotic system, is generally made in the field of sensitivity analysis, and the parametric derivatives of statistical quantities are…

Chaotic Dynamics · Physics 2021-06-22 Adam A. Sliwiak , Nisha Chandramoorthy , Qiqi Wang

We discuss the metastate, a probability measure on thermodynamic states, and its usefulness in addressing difficult questions pertaining to the statistical mechanics of systems with quenched disorder, in particular short-range spin glasses.…

Disordered Systems and Neural Networks · Physics 2007-05-23 C. M. Newman , D. L. Stein

The time evolution of a squeezed coherent state conditioned by the results of a single and double heterodyne measurement is discussed. The mean values of quadratures as well as the dynamics of quadrature uncertainties have been obtained…

Quantum Physics · Physics 2015-06-05 A. Dabrowska , P. Staszewski

Fast and precise characterization of Gaussian states is crucial for their effective use in quantum technologies. In this work, we apply a multi-parameter moment-based estimation method that enables rapid and accurate determination of…

Thermal tomography is an imaging technique for deducing information about the internal structure of a physical body from temperature measurements on its boundary. This work considers time-dependent thermal tomography modeled by a parabolic…

Numerical Analysis · Mathematics 2017-07-25 Nuutti Hyvönen , Lauri Mustonen

The notion of distance in Hilbert space is relevant in many scenarios. In particular, distances between quantum states play a central role in quantum information theory. An appropriate measure of distance is the quantum Jensen Shannon…

Quantum Physics · Physics 2008-04-24 A. P. Majtey , A. Borras , M. Casas , P. W. Lamberti , A. Plastino

In parametric systems, squeezed states of radiation can be generated via extra work done by external sources. This eventually increases the entropy of the system despite the fact that squeezing is reversible. We investigate the entropy…

Quantum Physics · Physics 2014-08-05 A. M. Zagoskin , E. Il'ichev , Franco Nori

We continue the investigation of kinetic models of a system in contact via stochastic interactions with several spatially homogeneous thermal reservoirs at different temperatures. Considering models different from those investigated in…

Mathematical Physics · Physics 2017-04-18 Eric A. Carlen , Raffaelle Esposito , Joel L. Lebowitz , Rossana Marra , Clement Mouhot

Measurements of an object's temperature are important in many disciplines, from astronomy to engineering, as are estimates of an object's spatial configuration. We present the quantum optimal estimator for the temperature of a distant body…

Quantum Physics · Physics 2017-07-27 Mark E. Pearce , Earl T. Campbell , Pieter Kok

Employing the volume of quantum steering ellipsoids (QSEs) as a measure on the fifteen-dimensional convex set of two-qubit states, we estimate the ratio of the integral of the measure over the separable states to its integral over all…

Quantum Physics · Physics 2020-12-17 Paul B. Slater

Distance geometry is the study of the arrangements of points in space using only the mutual distances between them. The basic idea in this letter is to use distance geometry for thermodynamics studies of small clusters in the microcanonical…

Atomic and Molecular Clusters · Physics 2009-03-05 Pierre Labastie

A systematic Bayesian framework is developed for physics constrained parameter inference ofstochastic differential equations (SDE) from partial observations. The physical constraints arederived for stochastic climate models but are…

Data Analysis, Statistics and Probability · Physics 2016-11-25 Daniel Peavoy , Christian L. E. Franzke , Gareth O. Roberts