Atomtronics with holes: Coherent transport of an empty site in a triple-well potential

Benseny, Albert; Fernández-Vidal, Sonia; Bagudà, Joan; Corbalán, R.; Picón, Antonio; Roso, L.; Birkl, G.; Mompart, J.

doi:10.1103/physreva.82.013604

Cited by 53 publications

(60 citation statements)

References 50 publications

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“…Spatial adiabatic passage for two identical atoms in a triple-well potential has been also discussed in terms of Bohmian trajectories [34], proposing efficient and robust methods to coherently transport an empty site, i.e., a hole, which, eventually, could be used to prepare defectfree trap domains, to perform quantum computations or to design atomtronic devices. In fact, taking into account the bosonic or fermionic statistics of these atoms and making use of both the collisional interaction and the exchange interaction, hole transport schemes for the implementation of a coherent single hole diode and a coherent single hole transistor have been discussed [34].…”

Section: Ultracold Atoms: Matter Wave Transportmentioning

confidence: 99%

“…To sum up, in ultracold atom physics, Bohmian trajectories have been used to get physical insight into the adiabatic transport of single atoms, Bose-Einstein condensates, and holes in triple well potentials [27,34]. One can foresee that future research in this field would be focused on applying Bohmian algorithms for mesoscopic systems [35] to the dynamics of a few cold atoms.…”

Section: Ultracold Atoms: Matter Wave Transportmentioning

confidence: 99%

“…In fact, taking into account the bosonic or fermionic statistics of these atoms and making use of both the collisional interaction and the exchange interaction, hole transport schemes for the implementation of a coherent single hole diode and a coherent single hole transistor have been discussed [34].…”

Section: Ultracold Atoms: Matter Wave Transportmentioning

confidence: 99%

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Applied Bohmian mechanics

et al. 2014

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Abstract. Bohmian mechanics provides an explanation of quantum phenomena in terms of point-like particles guided by wave functions. This review focuses on the use of nonrelativistic Bohmian mechanics to address practical problems, rather than on its interpretation. Although the Bohmian and standard quantum theories have different formalisms, both give exactly the same predictions for all phenomena. Fifteen years ago, the quantum chemistry community began to study the practical usefulness of Bohmian mechanics. Since then, the scientific community has mainly applied it to study the (unitary) evolution of single-particle wave functions, either by developing efficient quantum trajectory algorithms or by providing a trajectorybased explanation of complicated quantum phenomena. Here we present a large list of examples showing how the Bohmian formalism provides a useful solution in different forefront research fields for this kind of problems (where the Bohmian and the quantum hydrodynamic formalisms coincide). In addition, this work also emphasizes that the Bohmian formalism can be a useful tool in other types of (nonunitary and nonlinear) quantum problems where the influence of the environment or the nonsimulated degrees of freedom are relevant. This review contains also examples on the use of the Bohmian formalism for the many-body problem, decoherence and measurement processes. The ability of the Bohmian formalism to analyze this last type of problems for (open) quantum systems remains mainly unexplored by the scientific community. The authors of this review are convinced that the final status of the Bohmian theory among the scientific community will be greatly influenced by its potential success in those types of problems that present nonunitary and/or nonlinear quantum evolutions. A brief introduction of the Bohmian formalism and some of its extensions are presented in the last part of this review.

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Section: Ultracold Atoms: Matter Wave Transportmentioning

confidence: 99%

Section: Ultracold Atoms: Matter Wave Transportmentioning

confidence: 99%

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Applied Bohmian mechanics

et al. 2014

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“…First of all, the tunneling transition dynamics is characterized by the partial trapping of the wave packet at the initial well (see figure (6)). This effect consists in suppressing tunneling transitions in another side well, and it is strongly pronounced when the wave packet is initially situated in the deeper well.…”

Section: Asymmetric Casementioning

confidence: 99%

Tunneling dynamics in exactly solvable models with triple-well potentials

Berezovoj¹,

Konchatnij²,

Nurmagambetov³

2013

J. Phys. A: Math. Theor.

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Inspired by new trends in atomtronics, cold atoms devices and Bose-Einstein condensate dynamics, we apply a general technique of N=4 extended Supersymmetric Quantum Mechanics to isospectral Hamiltonians with triple-well potentials, i.e. symmetric and asymmetric. Expressions of quantum-mechanical propagators, which take into account all states of the spectrum, are obtained, within the N = 4 SQM approach, in the closed form. For the initial Hamiltonian of a harmonic oscillator, we obtain the explicit expressions of potentials, wavefunctions and propagators. The obtained results are applied to tunneling dynamics of localized states in triple-well potentials and for studying its features. In particular, we observe a Josephson-type tunneling transition of a wave packet, the effect of its partial trapping and a non-monotonic dependence of tunneling dynamics on the shape of a three-well potential. We investigate, among others, the possibility of controlling tunneling transport by changing parameters of the central well, and we briefly discuss potential applications of this aspect to atomtronic devices.

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“…1). If one atom is present in the middle trap, the SAP technique can be used to implement a single atom diode or a transistor [40]. In addition, this transport technique may allow to reduce the complexity of several quantum computing architectures [7,26,[41][42][43].…”

Section: Introductionmentioning

confidence: 99%

Speeding up the spatial adiabatic passage of matter waves in optical microtraps by optimal control

Negretti

Benseny

Mompart

et al. 2012

Quantum Inf Process

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We numerically investigate the performance of atomic transport in optical microtraps via the so called spatial adiabatic passage technique. Our analysis is carried out by means of optimal control methods, which enable us to determine suitable transport control pulses. We investigate the ultimate limits of the optimal control in speeding up the transport process in a triple well configuration for both a single atomic wave packet and a Bose-Einstein condensate within a regime of experimental parameters achievable with current optical technology.

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Atomtronics with holes: Coherent transport of an empty site in a triple-well potential

Cited by 53 publications

References 50 publications

Applied Bohmian mechanics

Applied Bohmian mechanics

Tunneling dynamics in exactly solvable models with triple-well potentials

Speeding up the spatial adiabatic passage of matter waves in optical microtraps by optimal control

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