Exact Solution of Strongly Interacting Quasi-One-Dimensional Spinor Bose Gases

Deuretzbacher, Frank; Fredenhagen, Klaus; Becker, Daniel G.; Bongs, Kai; Sengstock, K.; Pfannkuche, Daniela

doi:10.1103/physrevlett.100.160405

Cited by 114 publications

(172 citation statements)

References 29 publications

(33 reference statements)

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“…Indeed, in the strongly interacting limit they have features in common with the TG gas. For example, in certain interacting limits, their ground-state wave function can be obtained analytically and it is similar to a TG gas for both components [24,25]. The intra-and interspecies interactions, which describe all the interaction processes in these mixtures, can be controlled experimentally by means of Feshbach and confinement induced resonances [26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Distinguishability, degeneracy, and correlations in three harmonically trapped bosons in one dimension

et al. 2014

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We study a system of two bosons of one species and a third atom of a second species in a one-dimensional parabolic trap at zero temperature. We assume contact repulsive inter-and intraspecies interactions. By means of an exact diagonalization method we calculate the ground and excited states for the whole range of interactions. We use discrete group theory to classify the eigenstates according to the symmetry of the interaction potential. We also propose and validate analytical Ansätze gaining physical insight over the numerically obtained wave functions. We show that, for both approaches, it is crucial to take into account that the distinguishability of the third atom implies the absence of any restriction over the wave function when interchanging this boson with any of the other two. We find that there are degeneracies in the spectra in some limiting regimes, that is, when the interspecies and/or the intraspecies interactions tend to infinity. This is in contrast with the three-identical boson system, where no degeneracy occurs in these limits. We show that, when tuning both types of interactions through a protocol that keeps them equal while they are increased towards infinity, the systems's ground state resembles that of three indistinguishable bosons. Contrarily, the systems's ground state is different from that of three-identical bosons when both types of interactions are increased towards infinity through protocols that do not restrict them to be equal. We study the coherence and correlations of the system as the interactions are tuned through different protocols, which permit us to build up different correlations in the system and lead to different spatial distributions of the three atoms.

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Section: Introductionmentioning

confidence: 99%

Distinguishability, degeneracy, and correlations in three harmonically trapped bosons in one dimension

et al. 2014

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“…tinguishable spin-1/2 since any spin-spin exchange vanishes [36,41,46]. In both 1CBG and 2CBG, the local density-density correlation function then naturally vanishes since there is no double-space occupancy.…”

Section: Tonks-girardeau Regimementioning

confidence: 99%

“…Furthermore, recent studies of the ferromagnetic ground state revealed different dispersions for the charge and pseudospin excitations, which therefore exhibit a spin-charge separation [39,40]. The regime of strong interaction is still not completely understood, and even if Girardeau's Fermi-Bose mapping has been shown and used for the study of the one-dimensional (1D) spinor Bose gases [41] leading to a paramagnetic Tonk-Girardeau regime [36], this approach fails to provide first correction terms to this fermionization regime since the discernability of the bosons is missing.…”

Section: Introductionmentioning

confidence: 99%

Equilibrium thermodynamic properties of interacting two-component bosons in one dimension

Klauser

Caux

2011

Phys. Rev. A

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Equilibrium thermodynamic properties of interacting two-component bosons in one dimensionKlauser, A.M.; Caux, J.S. General rightsIt is not permitted to download or to forward/distribute the text or part of it without the consent of the author(s) and/or copyright holder(s), other than for strictly personal, individual use, unless the work is under an open content license (like Creative Commons). Disclaimer/Complaints regulationsIf you believe that digital publication of certain material infringes any of your rights or (privacy) interests, please let the Library know, stating your reasons. In case of a legitimate complaint, the Library will make the material inaccessible and/or remove it from the website. Please Ask the Library: http://uba.uva.nl/en/contact, or a letter to: Library of the University of Amsterdam, Secretariat, Singel 425, 1012 WP Amsterdam, The Netherlands. You will be contacted as soon as possible. Download date: 12 May 2018PHYSICAL REVIEW A 84, 033604 (2011) The interplay of quantum statistics, interactions, and temperature is studied within the framework of the bosonic two-component theory with repulsive delta-function interaction in one dimension. We numerically solve the thermodynamic Bethe ansatz and obtain the equation of state as a function of temperature and of the interaction strength, the relative chemical potential, and either the total chemical potential or a fixed number of particles, allowing quantification of the full crossover behavior of the system between its low-temperature ferromagnetic and high-temperature unpolarized regime, and from the low coupling decoherent regime to the fermionization regime at high interaction. Equilibrium thermodynamic properties of interacting two-component bosons in one dimension

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“…In the case of totally indistinguishable bosons and fermions, these phase relations lift the degeneracy completely (i.e. the famous Bose-Fermi mapping of Girardeau [48]), otherwise it is more complicated for more than two particles [42,43,49,50].…”

Section: B Kinematic Symmetriesmentioning

confidence: 99%

“…The eigensolutions at the unitary limit H τ ∞ can be algebraically constructed from the eigensolutions of H τ 0 by restricting the particle permutation antisymmetric states (19b) to the domains X I and X II , also called the 'snippet' basis [42,43,49,50,61]:…”

Section: Fig 5 Potential Energy Of Hamiltonianmentioning

confidence: 99%

Infinite barriers and symmetries for a few trapped particles in one dimension

Harshman

2017

Phys. Rev. A

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This article investigates the properties of a few interacting particles trapped in a few wells and how these properties change under adiabatic tuning of interaction strength and inter-well tunneling. While some system properties are dependent on the specific shapes of the traps and the interactions, this article applies symmetry analysis to identify generic features in the spectrum of stationary states of few-particle, few-well systems. Extended attention is given to a simple but flexible threeparameter model of two particles in two wells in one dimension. A key insight is that two limiting cases, hard-core repulsion and no inter-well tunneling, can both be treated as emergent symmetries of the few-particle Hamiltonian. These symmetries are the mathematical consequences of infinite barriers in configuration space. They are necessary to explain the pattern of degeneracies in the energy spectrum, to understand how degeneracies are broken for models away from limiting cases, and to explain separability and integrability. These symmetry methods are extendable to more complicated models and the results have practical consequences for stable state control in fewparticle, few-well systems with ultracold atoms in optical traps.

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Exact Solution of Strongly Interacting Quasi-One-Dimensional Spinor Bose Gases

Cited by 114 publications

References 29 publications

Distinguishability, degeneracy, and correlations in three harmonically trapped bosons in one dimension

Distinguishability, degeneracy, and correlations in three harmonically trapped bosons in one dimension

Equilibrium thermodynamic properties of interacting two-component bosons in one dimension

Infinite barriers and symmetries for a few trapped particles in one dimension

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