Quantum magnetism in strongly interacting one-dimensional spinor Bose systems

Dehkharghani, Amin; Volosniev, A. G.; Lindgren, Jonathan; Rotureau, J.; Forssén, Christian; Fedorov, D. V.; Jensen, A. S.; Zinner, N. T.

doi:10.1038/srep10675

Cited by 55 publications

(98 citation statements)

References 57 publications

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“…This mechanism appears to be very general and it is present always whenever fermions of different mass are being considered. We believe that our results may shed some light on the quantum magnetism [43][44][45][46][47][48][49][50] and the role of mass imbalance in spatial separation of the density profiles [51,52].…”

Section: Introductionmentioning

confidence: 99%

Few strongly interacting ultracold fermions in one-dimensional traps of different shapes

Pęcak

Sowiński

2016

Phys. Rev. A

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The ground-state properties of a few spin-1/2 fermions with different masses and interacting via short-range contact forces are studied within an exact diagonalization approach. It is shown that, depending on the shape of the external confinement, different scenarios of the spatial separation between components manifested by specific shapes of the density profiles can be obtained in the strong interaction limit. We find that the ground-state of the system undergoes a specific transition between orderings when the confinement is changed adiabatically from a uniform box to a harmonic oscillator shape. We study the properties of this transition in the framework of the finite-size scaling method adopted to few-body systems.

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Section: Introductionmentioning

confidence: 99%

Few strongly interacting ultracold fermions in one-dimensional traps of different shapes

Pęcak

Sowiński

2016

Phys. Rev. A

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“…In addition, weak majority interactions may be included using the well-known Gross-Pitaevskii equation (GPE). While our method is not exact, we have benchmarked the energetics and density profiles against numerical results [40] and find agreement for up to ten particles at the level of a few percent. To illustrate the method in this letter, we examine a system of eight bosons and an impurity in a harmonic trap.…”

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confidence: 99%

“…This pursuit requires theoretical models for describing the Bose polaron [30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48], where, in contrast to the Fermi polaron, an exact solution is not known even for a homogeneous 1D system. Here we provide a new theoretical framework that captures the properties of an impurity in a bosonic bath confined in one spatial dimension.…”

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confidence: 99%

Quantum impurity in a one-dimensional trapped Bose gas

2015

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We present a new theoretical framework for describing an impurity in a trapped Bose system in one spatial dimension. The theory handles any external confinement, arbitrary mass ratios, and a weak interaction may be included between the Bose particles. To demonstrate our technique, we calculate the ground state energy and properties of a sample system with eight bosons and find an excellent agreement with numerically exact results. Our theory can thus provide definite predictions for experiments in cold atomic gases.PACS numbers: 03.75. Mn,67.85.Pq An impurity interacting with a reservoir of quantum particles is an essential problem of fundamental physics. Famous examples include a single charge in a polarizable environment, the Landau-Pekar polaron [1, 2], a neutral particle in superfluid 4 He [3], a magnetic impurity in a metal resulting in the Kondo effect [4], and a single scattering potential inside an ideal Fermi gas [5,6]. The latter system is famous for the Anderson's orthogonality catastrophe [7]. In these settings the impurity behavior can provide key insights into the many-body physics and guide our understanding of more general setups.A complicating feature of many impurity problems is the presence of interactions at a level that often precludes the use of perturbative analysis and self-consistent mean-field approximations. This implies that analytical approaches are highly desirable and exact solutions are, when available, coveted tools for benchmarking other techniques. This is particularly true for one-dimensional (1D) homogeneous systems where solutions can often be found based on the Bethe ansatz [8][9][10][11][12][13]. These solutions are the essential ingredients for our analytical understanding of highly controllable experiments with cold atoms [14][15][16][17][18][19]. For instance, the exactly solvable problem of the single impurity in a 1D Fermi sea [10] -the Fermi polaron -can be used to study the atom-by-atom formation of a 1D Fermi sea [20].While Fermi polarons have been studied intensively in recent times using cold atomic setups both experimentally and theoretically [21][22][23][24][25], the physics of impurities in a bosonic environment is only now becoming a frontier in cold atom experiments [26][27][28][29]. This pursuit requires theoretical models for describing the Bose polaron [30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48], where, in contrast to the Fermi polaron, an exact solution is not known even for a homogeneous 1D system. Here we provide a new theoretical framework that captures the properties of an impurity in a bosonic bath confined in one spatial dimension. Our (semi)-analytical theory thus provides a state-of-the-art tool for exploring the properties of Bose polarons in 1D.The proposed framework works with a zero-range potential of any strength and handles any number of ma- FIG. 1: (color online) a)A sketch of the doubly-degenerate ground state for the system of one A and eight B particles trapped in a one-dimensional harmonic potential ...

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“…By playing with both the intra-and interspecies interactions one can explore different physical phenomena, like phase separation on small atom mixtures [29][30][31][32][33]. Other relevant phenomena are the presence of a composite fermionized gas [34][35][36], quantum magnetism [37][38][39], or a crossover between composite fermionization and phase separation [40,41]. Also, these small number bosonic mixtures allow for the study of dynamical phenomena, like the tunneling of one species through the barrier formed by the other species [42,43] or the dynamical emergence of orthogonality catastrophe [44].…”

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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Quantum magnetism in strongly interacting one-dimensional spinor Bose systems

Cited by 55 publications

References 57 publications

Few strongly interacting ultracold fermions in one-dimensional traps of different shapes

Few strongly interacting ultracold fermions in one-dimensional traps of different shapes

Quantum impurity in a one-dimensional trapped Bose gas

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

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