Exact dynamics of two ultra-cold bosons confined in a one-dimensional double-well potential

Dobrzyniecki, Jacek; Sowiński, Tomasz

doi:10.1140/epjd/e2016-70016-x

Cited by 34 publications

(33 citation statements)

References 39 publications

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“…Different methods have been employed to tackle the many-body problem of bosons in a double-well, even outside the mean-field regime [43][44][45][46][47]. Addressing the subject from a few-body perspective [48][49][50][51][52], however, might lead to new insight on the properties of these systems. Here we show that, in the regime where the repulsion between the impurity and the background is dominant, the system can exhibit non-trivial dynamical effects: the impurity undergoes Josephson-like oscillations when initialized at the edge of the system, and can have its tunneling enhanced when a barrier is present.…”

Section: Introductionmentioning

confidence: 99%

Emergence of junction dynamics in a strongly interacting Bose mixture

2018

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We study the dynamics of a one-dimensional system composed of a bosonic background and one impurity in single-and double-well trapping geometries. In the limit of strong interactions, this system can be modeled by a spin chain where the exchange coefficients are determined by the geometry of the trap. We observe non-trivial dynamics when the repulsion between the impurity and the background is dominant. In this regime, the system exhibits oscillations that resemble the dynamics of a Josephson junction. Furthermore, the double-well geometry allows for an enhancement in the tunneling as compared to the single-well case.

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Section: Introductionmentioning

confidence: 99%

Emergence of junction dynamics in a strongly interacting Bose mixture

2018

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“…Thus, for ultracold quantum gases, the most relevant set-up includes a parabolic trap, which is not analytically solvable for the whole range of interactions by the Bethe ansatz. Before studying the parabolic trap case in detail, let us briefly mention that many works have studied the TG gas in different external trapping potentials, a non-comprehensive list includes potentials such as split traps [113][114][115][116][117][118], optical lattices [119,120], hard wall boxes [121][122][123][124], ring potentials [125], double wells [86,[126][127][128][129][130][131][132][133][134][135], and anharmonic potentials [136]. The experimental realization of a TG gas was first reported in [5,6].…”

Section: Tonks-girardeau Gas In a Parabolic Trapmentioning

confidence: 99%

One-dimensional mixtures of several ultracold atoms: a review

Sowiński¹,

2019

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Recent theoretical and experimental progress on studying one-dimensional systems of bosonic, fermionic, and Bose-Fermi mixtures of a few ultracold atoms confined in traps is reviewed in the broad context of mesoscopic quantum physics. We pay special attention to limiting cases of very strong or very weak interactions and transitions between them. For bosonic mixtures, we describe the developments in systems of three and four atoms as well as different extensions to larger numbers of particles. We also briefly review progress in the case of spinor Bose gases of a few atoms. For fermionic mixtures, we discuss a special role of spin and present a detailed discussion of the two-and three-atom cases. We discuss the advantages and disadvantages of different computation methods applied to systems with intermediate interactions. In the case of very strong repulsion, close to the infinite limit, we discuss approaches based on effective spin chain descriptions. We also report on recent studies on higherspin mixtures and inter-component attractive forces. For both statistics, we pay particular attention to impurity problems and mass imbalance cases. Finally, we describe the recent advances on trapped Bose-Fermi mixtures, which allow for a theoretical combination of previous concepts, well illustrating the importance of quantum statistics and inter-particle interactions. Lastly, we report on fundamental questions related to the subject which we believe will inspire further theoretical developments and experimental verification. :1903.12189v3 [cond-mat.quant-gas] CONTENTS arXiv

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“…It is distinct from the truncation of a high-lying band of states in electronic systems that features a spectral gap. Even few-particle systems impose severe limitations [36], while in this work we have considered a many-body system (N 1) with no gap (Fig.3a). Using a semiclassical perspective, we have shown that the emergence of chaos requires one to forego the naive reasoning.…”

Section: √Xmentioning

confidence: 99%

Chaos-induced breakdown of Bose-Hubbard modeling

2020

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We show that the Bose-Hubbard approximation fails due to the emergence of chaos, even when excited modes are far detuned and the standard validity condition is satisfied. This is formally identical to the Melnikov-Arnold analysis of the stochastic pump model. Previous numerical observations of Bose-Hubbard breakdown are precisely reproduced by our simple model and can be attributed to many body enhancement of chaos.

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Exact dynamics of two ultra-cold bosons confined in a one-dimensional double-well potential

Cited by 34 publications

References 39 publications

Emergence of junction dynamics in a strongly interacting Bose mixture

Emergence of junction dynamics in a strongly interacting Bose mixture

One-dimensional mixtures of several ultracold atoms: a review

Chaos-induced breakdown of Bose-Hubbard modeling

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