For high-precision bosonic Josephson junctions, many-body effects matter

McLain, Marie A.; Alcala, Diego A.; Carr, Lincoln D.

doi:10.1088/2058-9565/aad399

Cited by 3 publications

(3 citation statements)

References 55 publications

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“…One method for switch modulation is detailed in [25] that dictates the dynamic regimes of a bosonic Josephson junction in a 1D optical lattice based on height of the central potential barrier. The states of the switch correspond to the two regimes of the spontaneoussymmetry breaking Z 2 quantum phase transition in a 1D double well: Josephson and Fock.…”

Section: Resultsmentioning

confidence: 99%

Quantum phase transition modulation in an atomtronic Mott switch

McLain¹,

Carr²

2018

Quantum Sci. Technol.

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Mott insulators provide stable quantum states and long coherence times due to small number fluctuations, making them good candidates for quantum memory and atomic circuits. We propose a proof-of-principle for a 1D Mott switch using an ultracold Bose gas and optical lattice. With time-evolving block decimation simulations -efficient matrix product state methods -we design a means for transient parameter characterization via a local excitation for ease of engineering into more complex atomtronics. We perform the switch operation by tuning the intensity of the optical lattice, and thus the interaction strength through a conductance transition due to the confined modifications of the "wedding cake" Mott structure. We demonstrate the time-dependence of Fock state transmission and fidelity of the excitation as a means of tuning up the device in a double well and as a measure of noise performance. Two-point correlations via the g (2) measure provide additional information regarding superfluid fragments on the Mott insulating background due to the confinement of the potential. arXiv:1804.03804v2 [cond-mat.quant-gas]

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Section: Resultsmentioning

confidence: 99%

Quantum phase transition modulation in an atomtronic Mott switch

McLain¹,

Carr²

2018

Quantum Sci. Technol.

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“…Due to the complexity of the problem, these methods are either limited to few-body systems [1][2][3][4][5] or they require approximations to the quantum many-body dynamics [6][7][8][9][10][11][12][13]. As a result, mean-field driven nonexponential decay [14][15][16] as well as substantial deviation from mean-field dynamics [17] were found in cold atoms systems. Pairing effects have also been demonstrated in systems of two and three atoms [4,5,[18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Imaginary-time mean-field method for collective tunneling

McGlynn

Simenel

2020

Phys. Rev. C

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Quantum tunneling in many-body systems is the subject of many experimental and theoretical studies in fields ranging from cold atoms to nuclear physics. However, theoretical description of quantum tunneling with strongly interacting particles, such as nucleons in atomic nuclei, remains a major challenge in quantum physics. An initialvalue approach to tunneling accounting for the degrees of freedom of each interacting particle is highly desirable. Inspired by existing methods to describe instantons with periodic solutions in imaginary time, we investigate the possibility to use an initial value approach to describe tunneling at the mean-field level. Real-time and imaginarytime Hartree dynamics are compared to the exact solution in the case of two particles in a two-well potential. Whereas real-time evolutions exhibit a spurious self-trapping effect preventing tunneling in strongly interacting systems, the imaginary-time-dependent mean-field method predicts tunneling rates in excellent agreement with the exact solution. Being an initial-value method, it could be more suitable than approaches requiring periodic solutions to describe realistic systems such as heavy-ion fusion.

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“…Due to the complexity of the problem, these methods are either limited to few-body systems [1][2][3][4][5] or they require approximations to the quantum many-body dynamics [6][7][8][9][10][11][12][13]. As a result, mean-field driven non-exponential decay [14][15][16] as well as substantial deviation from mean-field dynamics [17] were found in cold atoms systems. Pairing effects have also been demonstrated in systems of two and three atoms [4,5,[18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Imaginary Time Mean-Field Method for Collective Tunneling

McGlynn,

Simenel

2020

Preprint

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Background: Quantum tunneling in many-body systems is the subject of many experimental and theoretical studies in fields ranging from cold atoms to nuclear physics. However, theoretical description of quantum tunneling with strongly interacting particles, such as nucleons in atomic nuclei, remains a major challenge in quantum physics. Purpose: An initial-value approach to tunneling accounting for the degrees of freedom of each interacting particle is highly desirable. Methods: Inspired by existing methods to describe instantons with periodic solutions in imaginary time, we investigate the possibility to use an initial value approach to describe tunneling at the meanfield level. Real-time and imaginary-time Hartree dynamics are compared to the exact solution in the case of two particles in a two-well potential. Results: Whereas real-time evolutions exhibit a spurious self-trapping effect preventing tunneling in strongly interacting systems, the imaginary-time-dependent mean-field method predicts tunneling rates in excellent agreement with the exact solution. Conclusions: Being an initial-value method, it could be more suitable than approaches requiring periodic solutions to describe realistic systems such as heavy-ion fusion.

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For high-precision bosonic Josephson junctions, many-body effects matter

Cited by 3 publications

References 55 publications

Quantum phase transition modulation in an atomtronic Mott switch

Quantum phase transition modulation in an atomtronic Mott switch

Imaginary-time mean-field method for collective tunneling

Imaginary Time Mean-Field Method for Collective Tunneling

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