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We study evolution of a quantum particle in a harmonic potential whose position and momentum are repeatedly monitored. A back-action of measuring devices is accounted for. Our model utilizes a generalized measurement corresponding to the…

Quantum Physics · Physics 2023-06-16 Filip Gampel , Mariusz Gajda

We derive exact thermodynamic identities relating the average number of condensed atoms and the root-mean-square fluctuations determined in different statistical ensembles for the weakly interacting Bose gas confined in a box. This is…

Condensed Matter · Physics 2009-10-31 Fabrizio Illuminati , Patrick Navez , Martin Wilkens

In this paper, I present a precise Quantum Monte Carlo calculation at finite temperature for a very large number (many thousands) of bosons in a harmonic trap, which may be anisotropic. The calculation applies directly to the recent…

Statistical Mechanics · Physics 2009-10-28 Werner Krauth

In this review, we give an overview of the experimental and theoretical advances in the physics of quantized vortices in dilute atomic-gas Bose--Einstein condensates in a trapping potential, especially focusing on experimental research…

Other Condensed Matter · Physics 2009-07-10 Kenichi Kasamatsu , Makoto Tsubota

The Bose-Einstein condensation of atoms can be conveniently formulated as a problem in thermal quantum field theory. There are many properties of the equilibrium system and its collective excitations that can be studied experimentally. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 Eric Braaten

The influence of continuous measurements of energy with a finite accuracy is studied in various quantum systems through a restriction of the Feynman path-integrals around the measurement result. The method, which is equivalent to consider…

Condensed Matter · Physics 2009-10-22 Ubaldo Tambini , Roberto Onofrio , Carlo Presilla

Contrary to many other translationally invariant one-dimensional models, the low-temperature phase for an attractively interacting one-dimensional Bose-gas (a quantum bright soliton) is stable against thermal fluctuations. However, treating…

Quantum Gases · Physics 2016-10-31 Christoph Weiss , Simon A. Gardiner , Bettina Gertjerenken

Recent investigations show that the statistical mechanics of a finite number of particles in ideal harmonic systems predicts different results for the same physical properties, depending on the ensemble under consideration. Path integral…

Statistical Mechanics · Physics 2009-10-31 L. F. Lemmens , F. Brosens , J. T. Devreese

The paper is a continuation of our previous work on the spatially homogeneous Boltzmann equation for Bose-Einstein particles with quantum collision kernel that includes the hard sphere model. Solutions $F_t$ under consideration that…

Analysis of PDEs · Mathematics 2025-01-17 Shuzhe Cai , Xuguang Lu

We study optical spectra of finite electronic quantum systems at frequencies smaller than the plasma frequency using a quasi-classical approach. This approach includes collective effects and enables us to analyze how the nature of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. Santer , B. Mehlig

For many-particle systems with short-range interactions the local (same point) particle-particle pair correlation function represents a thermodynamic quantity that can be calculated using the Hellmann-Feynman theorem. Here we exploit this…

Quantum Gases · Physics 2024-09-10 Raymon S. Watson , Caleb Coleman , Karen V. Kheruntsyan

We propose extension of the numerical method to model effect of Bose-Einstein correlations (BEC) observed in hadronization processes which allows for calculations not only correlation functions $C_2(Q_{inv})$ (one-dimensional) but also…

High Energy Physics - Phenomenology · Physics 2007-05-23 O. V. Utyuzh , G. Wilk , Z. Wlodarczyk

We investigate thermodynamic properties of quantum electrodynamics in 1+1 dimensions (QED$_{1+1}$) utilizing light front dynamics. Therefore we derive the partition function of the canonical ensemble in discrete light cone quantization, and…

High Energy Physics - Theory · Physics 2008-11-26 S. Strauss , M. Beyer

We present a self-contained theory for the exact calculation of particle number counting statistics of non-interacting indistinguishable particles in the canonical ensemble. This general framework introduces the concept of auxiliary…

Statistical Mechanics · Physics 2020-11-13 Hatem Barghathi , Jiangyong Yu , Adrian Del Maestro

Cold atomic ensembles and spinor Bose-Einstein condensates (BECs) are potential candidates for quantum memories as they have long coherence times and can be coherently controlled. Unlike most candidates for quantum memories which are…

Quantum Physics · Physics 2016-09-28 Shi Wang , Tim Byrnes

The non-identical particle femtoscopy is a technique that is developed to estimate the dimension of a particle-emitting medium as well as the average pair-emission asymmetry between the particles using two-particle correlation functions.…

High Energy Physics - Experiment · Physics 2022-12-12 Pritam Chakraborty

Using eigen-functional bosonization method, we study quantum many-particle systems, and show that the quantum many-particle problems end in to solve the differential equation of the phase fields which represent the particle correlation…

Strongly Correlated Electrons · Physics 2007-05-23 Yu-Liang Liu

We consider composite bosons (cobosons) comprised of two elementary particles, fermions or bosons, in an entangled state. First, we show that the effective number of cobosons implies the level of correlation between the two constituent…

Quantum Physics · Physics 2015-11-05 Su-Yong Lee , Jayne Thompson , Sadegh Raeisi , Pawel Kurzynski , Dagomir Kaszlikowski

The quantum Boltzmann-Bose equation describes a large system of Bose-Einstein particles in the weak-coupling regime. If the particle interaction is governed by the inverse power law, the corresponding collision kernel has angular…

Analysis of PDEs · Mathematics 2022-12-08 Tong Yang , Yu-Long Zhou

Controlling matter to simultaneously support multiple coupled properties is of fundamental and technological importance. For example, the simultaneous presence of magnetic and ferroelectric orders in multiferroic materials leads to enhanced…

Quantum Gases · Physics 2019-01-18 Andrea Morales , Philip Zupancic , Julian Léonard , Tilman Esslinger , Tobias Donner