Coherent quantum phase slip in two-component bosonic atomtronic circuits

Gallemí, A.; Mateo, A. Muñoz; Mayol, R.; Guilleumas, M.

doi:10.1088/1367-2630/18/1/015003

Cited by 29 publications

(26 citation statements)

References 50 publications

(68 reference statements)

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“…We have checked that an increase in the number of particles stretches the duration of the coherent-dynamics stage in the Josephson regime. In this way, our results tend to previous results obtained within the mean-field framework [19], where long-duration coherent oscillations of half vortices were demonstrated in a two-component spinor condensate.…”

Section: B Many-body Population-balanced Fractional Vorticessupporting

confidence: 91%

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Tunneling vortex dynamics in linearly coupled Bose-Hubbard rings

et al. 2019

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The quantum dynamics of population-balanced fractional vortices and population-imbalanced vortices in an effective two-state bosonic system, made of two coupled discrete circuits with few sites, is addressed within the Bose-Hubbard model. We show that for low on-site interaction, the tunneling of quantized vortices between the rings performs a coherent, oscillating dynamics connecting current states with chiral symmetry. The vortex-flux transfer dually follows the usual sinusoidal particle current of the Josephson effect, in good agreement with a mean-field approximation. Within such regime, the switch of persistent currents in the rings resembles flux-qubit features, and is feasible to experimental realization. On the contrary, strong interatomic interactions suppress the chiral current and lead the system into fragmented condensation. arXiv:1908.01353v1 [cond-mat.quant-gas] 4 Aug 2019 A B q q' J ┴ J q J ┴ J

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Section: B Many-body Population-balanced Fractional Vorticessupporting

confidence: 91%

“…In spinor condensates, Refs. [19][20][21] showed the coherent transfer of half vortices between the condensate components, and Refs. [22,23] analyzed Josephson oscillations in the angular momentum.…”

Section: Introductionmentioning

confidence: 95%

Tunneling vortex dynamics in linearly coupled Bose-Hubbard rings

et al. 2019

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“…, the global limiting value is always found at the smallest momentum, i.e., for k = 1, irrespective of site number L. In other words, increasing w, the sub-Hamiltonian which could first be affected by the spectral collapse isĤ 1 , no matter the number of ring-lattice sites L. With reference to the most elementary closed circuit, the trimer, the stability condition becomes (namely, W < W c := 9T /(2N ) + U in terms of the model parameters) which guarantees the correctness of formulas (13), (14) and (15). As far as excited populations, they reveal a diverging evolution when one approaches the border of the stability region.…”

Section: Towards Dynamical Instabilitymentioning

confidence: 68%

Two-species boson mixture on a ring: A group-theoretic approach to the quantum dynamics of low-energy excitations

Penna

Richaud

2017

Phys. Rev. A

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We investigate the weak excitations of a system made up of two condensates trapped in a BoseHubbard ring and coupled by an interspecies repulsive interaction. Our approach, based on the Bogoliubov approximation scheme, shows that one can reduce the problem Hamiltonian to the sum of sub-HamiltoniansĤ k , each one associated to momentum modes ±k. EachĤ k is then recognized to be an element of a dynamical algebra. This uncommon and remarkable property allows us to present a straightforward diagonalization scheme, to find constants of motion, to highlight the significant microscopic processes, and to compute their time evolution. The proposed solution scheme is applied to a simple but non trivial closed circuit, the trimer. The dynamics of lowenergy excitations, corresponding to weakly-populated vortices, is investigated considering different choices of the initial conditions, and the angular-momentum transfer between the two condensates is evidenced. Finally, the condition for which the spectral collapse and dynamical instability are observed is derived analytically.

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“…Kink-antikink soliton solutions of sineGordon equation in a long Josephson junction is obtained from [2][3]. Some researchers had been done to study Josephson junction in technology, for example, thermal transport, SQUID, quantum phase and solitons [4][5][6][7][8] Dynamics phase of long Josephson junction is expressed in equation (1) …”

Section: Introductionmentioning

confidence: 99%

Influence of External Magnetic Field on Potential Differences of Long Josephson Junction

Hidayat

Hardianto

Latifah

et al. 2017

IOP Conf. Ser.: Mater. Sci. Eng.

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Abstract. The soliton phenomenon in a long Josephson junction was studied by using the particular solution of Sine-Gordon equation. Using analytical method, sine-Gordon equation was normalized and two-soliton solutions correlated to phase, and potential differences of long Josephson junction were obtained. Based on the two-soliton solutions, the influence of external magnetics fields on the dynamics of phase and potential differences of long Josephson junction were numerically studied.

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Coherent quantum phase slip in two-component bosonic atomtronic circuits

Cited by 29 publications

References 50 publications

Tunneling vortex dynamics in linearly coupled Bose-Hubbard rings

Tunneling vortex dynamics in linearly coupled Bose-Hubbard rings

Two-species boson mixture on a ring: A group-theoretic approach to the quantum dynamics of low-energy excitations

Influence of External Magnetic Field on Potential Differences of Long Josephson Junction

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