Ground states of spin-1 bosons in asymmetric double wells

Carvalho, David William Sabino; Foerster, Angela; Gusmao, Miguel Angelo Cavalheiro

doi:10.1103/physreva.91.033608

Cited by 8 publications

(14 citation statements)

References 43 publications

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“…Bosonic atoms with nonzero spin trapped in a doublewell optical potential may be described by a two-site Bose-Hubbard model extended to include a spin-dependent interaction [22,23]. The Hamiltonian is written as…”

Section: Modelmentioning

confidence: 99%

“…The experimental ability to isolate a limited number of atoms in few wells [11][12][13][14][15][16][17][18][19] attracted attention to few-particle systems [20,21]. In this context, theoretical descriptions of ground-state properties of few spin-1 bosons in double wells were recently reported [22,23]. The study of dynamics in such systems is also of great interest since it involves the controlled evolution of strongly entangled states, which is relevant for possible applications in atomtronics [24][25][26] and quantum computing.…”

Section: Introductionmentioning

confidence: 99%

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Coupled dynamics of interacting spin-1 bosons in a double-well potential

2018

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We present a detailed analysis of dynamical processes involving two or three particles in a double-well potential. Motivated by experimental realizations of such a system with optically trapped cold atoms, we focus on spin-1 bosons with special attention on the effects of a spin-dependent interaction in addition to the usual Hubbard-like repulsive one. For a sufficiently weak tunneling amplitude in comparison to the dominant Hubbard coupling, particle motion is strongly correlated, occurring only under fine-tuned relationships between well-depth asymmetry and interactions. We highlight processes involving tunneling of coupled particle pairs and triads, emphasizing the role of the spin-dependent interaction in resonance conditions.

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Section: Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Coupled dynamics of interacting spin-1 bosons in a double-well potential

2018

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“…Inspired by the merging of a few spin-1 bosons in a double well [16][17][18][19], we propose in this work a stepwise adiabatic merging (SAM) protocol to generate the quantum many-body singlet state, by propagating adiabatically the antiferromagnetic spin-1 bosons in concatenated optical superlattices from an experimentally accessible initial state to the final (ground) quantum many-body singlet state. Briefly, we start with a Mott insulator * Corresponding email: wxzhang@whu.edu.cn state of spin-1 boson with single occupancy for each lattice site, with all the atoms optically pumped to the polar (i.e., |F = 1, m F = 0 ) state, then slowly merge the nearest two lattice sites adiabatically along x direction, and generate many two-body spin singlet states.…”

Section: Introductionmentioning

confidence: 99%

Efficient generation of many-body singlet states of spin-1 bosons in optical superlattices

Sun

et al. 2017

Phys. Rev. A

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We propose an efficient stepwise adiabatic merging (SAM) method to generate many-body singlet states in antiferromagnetic spin-1 bosons in concatenated optical superlattices with isolated doublewell arrays, by adiabatically ramping up the double-well bias. With an appropriate choice of bias sweeping rate and magnetic field, the SAM protocol predicts a fidelity as high as 90% for a sixteenbody singlet state and even higher fidelities for smaller even-body singlet states. During their evolution, the spin-1 bosons exhibit interesting squeezing dynamics, manifested by an odd-even oscillation of the experimentally observable squeezing parameter. The generated many-body singlet states may find practical applications in precision measurement of magnetic field gradient and in quantum information processing.

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“…In this respect, an asymmetric double well is of particular interest. Already a number of studies of the properties of an ultra-cold atomic system in an asymmetric double well trap and a few of its applications have been reported [62][63][64][65][66][67][68][69][70]. For example, a novel sensor utilizing the adiabatic axial splitting of a BEC in an asymmetric double well has been reported [62].…”

mentioning

confidence: 99%

“…For example, a novel sensor utilizing the adiabatic axial splitting of a BEC in an asymmetric double well has been reported [62]. The ground state properties of spin-1 bosons [66] in an asymmetric double well has also been studied. Also, the ground state properties and the corresponding transition between the Josephson and self-trapped regimes for an attractive BEC have been studied by the two-site Bose-Hubbard model [63].…”

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confidence: 99%

Many-body quantum dynamics of an asymmetric bosonic Josephson junction

Haldar

Alon

2019

New J. Phys.

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The out-of-equilibrium quantum dynamics of an interacting Bose gas trapped in a one-dimensional asymmetric double-well potential is studied by solving the many-body Schrödinger equation numerically accurately. We examine how the gradual loss of symmetry of the confining trap affects the macroscopic quantum tunneling dynamics of the system between the two wells. In an asymmetric double well, the two wells are not equivalent anymore, say, the left well is deeper than the right one. Accordingly, we analyze the dynamics by initially preparing the condensate in both the left and the right wells. The dynamics of the system is characterized by the time evolution of a few physical quantities of increasing many-body complexity, namely, the survival probability, depletion and fragmentation, and the many-particle position and momentum variances. In particular, we have examined the frequencies and amplitudes of the oscillations of the survival probabilities, the time scale for the development of fragmentation and its degree, and the growth and oscillatory behavior of the many-particle position and momentum variances. There is an overall suppression of the oscillations of the survival probabilities in an asymmetric double well, except for resonant values of asymmetry for which the one-body ground state energy in the right well matches with one of the one-body excited states in the left well, thereby resulting in resonantly enhanced tunneling from the right well ground state. Overall, depending on whether the condensate is initially prepared in the left or right well, the repulsive inter-atomic interactions affect the survival probabilities differently. For a sufficiently strong repulsive interaction, the system is found to become fragmented. The degree of fragmentation depends both on the asymmetry of the trap and the initial well in which the condensate is prepared in a non-trivial manner. Furthermore, we show that the phenomenon of resonantly enhanced tunneling can be accompanied by a large degree of fragmentation (depletion) for the strong (weak) interaction. The many-particle position and momentum variances follow the density oscillations of the system in the asymmetric double well and bears prominent signatures of the degree of depletion or fragmentation, depending on the strength of the interactions. These quantities further exhibit a fine structure signifying a breathing-mode oscillation. Finally, a universality of fragmentation for systems made of different numbers of particles but the same interaction parameter is also found and its dependence on the asymmetry is investigated. The phenomenon is robust despite the asymmetry of the junction and admits a macroscopically-large fragmented condensate characterized by a diverging many-particle position variance. This is as far as one can get from the dynamics of the density in the junction.recently. This has opened a whole new research field of strongly correlated systems with potential applications in quantum technology and quantum simulation of condensed-matter problems [...

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Ground states of spin-1 bosons in asymmetric double wells

Cited by 8 publications

References 43 publications

Coupled dynamics of interacting spin-1 bosons in a double-well potential

Coupled dynamics of interacting spin-1 bosons in a double-well potential

Efficient generation of many-body singlet states of spin-1 bosons in optical superlattices

Many-body quantum dynamics of an asymmetric bosonic Josephson junction

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