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At finite temperatures below the phase transition point, the Bose-Einstein condensation, the macroscopic occupation of a single quantum state by particles of integer spin, is not complete. In the language of superfluid helium, this means…

Mathematical Physics · Physics 2015-09-16 Dionisios Margetis

We propose a scheme for trapped atom interferometry using an interacting Bose-Einstein condensate. The condensate is controlled and spatially split in two confined external momentum modes through a series Bragg pulses. The proposed scheme…

Quantum Physics · Physics 2021-06-16 Robin Corgier , Luca Pezzè , Augusto Smerzi

We consider a two-component immiscible Bose-Einstein condensate with dominating intra-species repulsive density-density interactions. In the ground-state phase of such a system only one condensates is present. This can be viewed as a…

Quantum Gases · Physics 2015-03-20 Peder N. Galteland , Egor Babaev , Asle Sudbø

Bose-Einstein condensation happens as a gas of bosons is cooled below its transition temperature, and the ground state becomes macroscopically occupied. The phase transition occurs in the thermodynamic limit of many particles. However,…

Quantum Gases · Physics 2023-03-24 Fredrik Brange , Tuomas Pyhäranta , Eppu Heinonen , Kay Brandner , Christian Flindt

We investigate how to estimate from atom-position measurements the relative phase of two Bose-Einstein condensates released from a double-well potential. We demonstrate that the phase estimation sensitivity via the fit of the average…

Quantum Gases · Physics 2015-05-19 Jan Chwedenczuk , Francesco Piazza , Augusto Smerzi

The behavior of a Bose-Einstein ideal gas of particles in a three dimensional space in the presence of a uniform field, such as gravity, and of contact interaction, describing the presence of one impurity, is investigated. It is shown that…

Statistical Mechanics · Physics 2007-05-23 Roberto Soldati , Alberto Zannoni

We study the fidelity decay and its freeze for an initial coherent state of two-mode Bose-Einstein condensates in the Fock regime considering a Bose-Hubbard model that includes two-particle tunneling terms. By using linear-response theory…

Quantum Gases · Physics 2017-03-29 Luis Benet , Diego Espitia , Daniel Sahagún

A simple model of Bose-Einstein condensation of interacting particles is proposed. It is shown that in the condensate state the dependence of thermodynamic quantities on the interaction constant does not allow an expansion in powers of the…

Statistical Mechanics · Physics 2017-01-04 Yu. M. Poluektov

Light-pulse atom interferometers are highly sensitive to inertial and gravitational effects. As such they are promising candidates for tests of gravitational physics. In this article the state-of-the-art and proposals for fundamental tests…

Quantum Physics · Physics 2021-07-09 Christian Ufrecht , Albert Roura , Wolfgang P. Schleich

We present theoretical tools for predicting and reducing the effects of atomic interactions in Bose-Einstein condensate (BEC) interferometry experiments. To address mean-field shifts during free propagation, we derive a robust scaling…

Quantum Gases · Physics 2015-05-27 Alan O. Jamison , J. Nathan Kutz , Subhadeep Gupta

The capability to reach ultracold atomic temperatures in compact instruments has recently been extended into space. Ultracold temperatures amplify quantum effects, while free-fall allows further cooling and longer interactions time with…

We analyze the physics of Bose-Einstein condensates confined in 2D quasi-periodic optical lattices, which offer an intermediate situation between ordered and disordered systems. First, we analyze the time-of-flight interference pattern that…

Other Condensed Matter · Physics 2016-08-16 Laurent Sanchez-Palencia , Luis Santos

We discuss the phenomenon of Bose-Einstein condensation under general external conditions using connections between partition sums and the heat-equation. Thermodynamical quantities like the critical temperature are given in terms of the…

Statistical Mechanics · Physics 2009-10-31 Klaus Kirsten , David J. Toms

Ring polymer self-consistent field theory is used to calculate the critical temperatures and heat capacities of an ideal Bose gas for an order of magnitude more particles than previously reported. A lambda-transition indicative of…

Quantum Physics · Physics 2025-01-07 Russell B. Thompson

Coherence is a defining feature of quantum condensates. These condensates are inherently multimode phenomena and in the macroscopic limit it becomes extremely difficult to resolve populations of individual modes and the coherence between…

We investigate the creation of a relative phase between two Bose-Einstein condensates, initially in number states, by detection of atoms and show how the system approaches a coherent state. Two very distinct time scales are found: one for…

Quantum Physics · Physics 2009-10-31 Peter Horak , Stephen M. Barnett

We discuss the occurrence of Bose-Einstein condensation in systems of noninteracting charged particles in three in one dimensions and in presence of an external magnetic field. In the one dimensional, as well as in the magnetic field cases,…

Condensed Matter · Physics 2007-05-23 H. Perez , L. Villegas

We study the interaction of light with two Bose condensates as an open quantum system. The two overlapping condensates occupy two different Zeeman sublevels and two driving light beams induce a coherent quantum tunneling between the…

Condensed Matter · Physics 2009-10-30 Janne Ruostekoski , Dan F. Walls

We show that the visibility in interference experiments with Bose-Einstein condensates is directly related to the condensate fraction. The probability distribution of the contrast over many runs of an interference experiment thus gives the…

Quantum Gases · Physics 2010-11-23 Steffen Patrick Rath , Wilhelm Zwerger

We study possible scenarios for quantum non-demolition measurements using Bose-Einstein condensates. We show that the interactions between condensate atoms makes it possible to measure the atom number with minimal back action on the system.…

Soft Condensed Matter · Physics 2009-11-07 S. Choi , K. Burnett