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Improved control of the motional and internal quantum states of ultracold neutral atoms and ions has opened intriguing possibilities for quantum simulation and quantum computation. Many-body effects have been explored with hundreds of…

Quantum Gases · Physics 2010-08-31 Christoph Zipkes , Stefan Palzer , Carlo Sias , Michael Köhl

We suggested a method to estimate the quantum depletion of interacting Bose particles confined by a three dimensional harmonic trap.

Statistical Mechanics · Physics 2007-05-23 Sang-Hoon Kim

A survey is given of the present state of the art in studying Bose-Einstein condensation of dilute atomic gases. The bulk of attention is focused on the principal theoretical problems, though the related experiments are also mentioned. Both…

Statistical Mechanics · Physics 2015-06-24 V. I. Yukalov

Studies of trapped quantum gases of bosons and of fermions have opened up a new range of many-body problems, having a strong overlap with nuclear and neutron star physics. Topics discussed here include: the Bose yrast problem -- how…

Nuclear Theory · Physics 2009-11-10 Gordon Baym

We study the anomalous density in an ultra-cold trapped bose gas in a variational framework, for both zero and finite temperature. We show that it is finite in 1D, while it is logarithmically and linearly divergent in 2D and 3D. The…

Quantum Gases · Physics 2016-10-05 Benarous Mohamed

We conduct a rigorous investigation into the thermodynamic instability of ideal Bose gas confined in a cubic box, without assuming thermodynamic limit nor continuous approximation. Based on the exact expression of canonical partition…

Statistical Mechanics · Physics 2011-09-12 Jeong-Hyuck Park , Sang-Woo Kim

We experimentally study the dynamics of a degenerate one-dimensional Bose gas that is subject to a continuous outcoupling of atoms. Although standard evaporative cooling is rendered ineffective by the absence of thermalizing collisions in…

We exactly analyze, on the mean-field level, the low-momentum properties of a single impurity atom loaded in the dilute one-dimensional Bose gas with two- and three-body short-range interactions. Particularly the Bose polaron binding energy…

Quantum Gases · Physics 2019-06-26 Volodymyr Pastukhov

We address the interplay of few lattice trapped bosons interacting with an impurity atom in a box potential. For the ground state, a classification is performed based on the fidelity allowing to quantify the susceptibility of the composite…

Quantum Gases · Physics 2021-03-24 Maxim Pyzh , Kevin Keiler , Simeon I. Mistakidis , Peter Schmelcher

We show how impurity atoms can measure moments of ultracold atomic gas densities, using the example of bosons in a one-dimensional lattice. This builds on a body of work regarding the probing of systems by measuring the dephasing of an…

Quantum Gases · Physics 2016-04-12 Thomas J. Elliott , Tomi H. Johnson

The problem of particle fluctuations in arbitrary nonuniform systems with Bose-Einstein condensate is considered. This includes the case of trapped Bose atoms. It is shown that the correct description of particle fluctuations for any…

Quantum Gases · Physics 2015-05-13 V. I. Yukalov

I predict the existence of internal spatial currents in a {\it single} macroscopic quantum system, namely in trapped dilute-gas at sufficiently low temperatures, when a Bose-Einstein condensation occurs. The spatial profiles of the…

Statistical Mechanics · Physics 2007-05-23 Alexander V. Zhukov

The formation of bound states involving multiple particles underlies many interesting quantum physical phenomena, such as Efimov physics or superconductivity. In this work we show the existence of an infinite number of such states for some…

Quantum Physics · Physics 2016-06-01 Tao Shi , Ying-Hai Wu , A. Gonzalez-Tudela , J. I. Cirac

We consider a harmonically trapped Tonks-Girardeau gas of impenetrable bosons in the presence of a single embedded ion, which is assumed to be tightly confined in a RF trap. In an ultracold ion-atom collision the ion's charge induces an…

Quantum Gases · Physics 2013-06-18 J. Goold , H. Doerk , Z. Idziaszek , T. Calarco , Th. Busch

We investigate the tunneling dynamics of an ultracold bosonic impurity species which interacts repulsively with a second, larger Bose gas. Both species are held in a finite-sized quasi-one-dimensional box potential. In addition, the…

Quantum Gases · Physics 2019-11-06 Kevin Keiler , Peter Schmelcher

We investigate one-dimensional three-body systems composed of two identical bosons and one imbalanced atom (impurity) with two-body and three-body zero-range interactions. For the case in the absence of three-body interaction, we give a…

Quantum Gases · Physics 2021-09-08 Yanxia Liu , Yi-Cong Yu , Shu Chen

Bose-Einstein condensation has been realized in dilute atomic vapors. This achievement has generated immerse interest in this field. Presented is a review of recent theoretical research into the properties of trapped dilute-gas…

Soft Condensed Matter · Physics 2009-10-31 Takeya Tsurumi , Hirofumi Morise , Miki Wadati

Using the time-dependent density matrix renormalization group (TDMRG) we theoretically study the collision of a one-dimensional gas of interacting bosons with an impurity trapped in a shallow box potential. We study the dynamic response of…

Quantum Gases · Physics 2015-09-28 Elmer V. H. Doggen , Sebastiano Peotta , Päivi Törmä , Jami J. Kinnunen

Fragmentation of an interacting Bose gas refers to the macroscopic occupation of a finite set of single-particle eigenstates. This phenomenon is related to the notion of particle-number squeezing in quantum optics, an exquisite property of…

Quantum Gases · Physics 2024-04-30 Nathan Dupont , Amit Vashisht , Nathan Goldman

We consider a gas of weakly interacting bosons in three dimensions subject to an external potential in the mean field regime. Assuming that the initial state of our system is a product state, we show that in the trace topology of one-body…

Mathematical Physics · Physics 2024-05-01 Charlotte Dietze , Jinyeop Lee