Entangled states of dipolar bosons generated in a triple-well potential

Tonel, Arlei Prestes; Ymai, L. H.; Wittmann, W.; Foerster, Angela; Links, Jon

doi:10.21468/scipostphyscore.2.1.003

Cited by 12 publications

(6 citation statements)

References 31 publications

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“…The Hamiltonian (2) has large energy degeneracies when J = 0. Through numerical diagonalization of the integrable Hamiltonian for sufficiently small values of J, it is seen that the levels coalesce into well-defined bands, similar to that observed in an analogous integrable three-site model 41,42 . By examination of second-order tunneling processes in this regime (see Supplementary Note 1), an effective Hamiltonian H eff is obtained.…”

Section: Methodssupporting

confidence: 59%

Protocol designs for NOON states

Grün

Ymai

et al. 2022

Commun Phys

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The ability to reliably prepare non-classical states will play a major role in the realization of quantum technology. NOON states, belonging to the class of Schrödinger cat states, have emerged as a leading candidate for several applications. Here we show how to generate NOON states in a model of dipolar bosons confined to a closed circuit of four sites. This is achieved by designing protocols to transform initial Fock states to NOON states through use of time evolution, application of an external field, and local projective measurements. The evolution time is independent of total particle number, offering an encouraging prospect for scalability. By variation of the external field strength, we demonstrate how the system can be controlled to encode a phase into a NOON state. We also discuss the physical feasibility, via ultracold dipolar atoms in an optical superlattice setup. Our proposal showcases the benefits of quantum integrable systems in the design of protocols.

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Section: Methodssupporting

confidence: 59%

Protocol designs for NOON states

Grün

Ymai

et al. 2022

Commun Phys

Self Cite

View full text Add to dashboard Cite

show abstract

“…The Hamiltonian (2) has large energy degeneracies when J = 0. Through numerical diagonalization of the intergable Hamiltonian for sufficiently small values of J, it is seen that the levels coalesce into well-defined bands, similar to that observed in an analogous integrable threesite model 37,39 . By examination of second-order tunneling processes (see Supplementary Note 1) In this regime, an effective Hamiltonian H eff is obtained for this regime.…”

Section: Resonant Tunneling Regimesupporting

confidence: 56%

Atomtronic protocol designs for NOON states

Grun,

Wittmann,

Ymai

et al. 2021

Preprint

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The ability to reliably prepare non-classical states will play a major role in the realization of quantum technology. NOON states, belonging to the class of Schrödinger cat states, have emerged as a leading candidate for several applications. Starting from a model of dipolar bosons confined to a closed circuit of four sites, we show how to generate NOON states. This is achieved by designing protocols to transform initial Fock states to NOON states through use of time evolution, application of an external field, and local projective measurements. By variation of the external field strength, we demonstrate how the system can be controlled to encode a phase into a NOON state. We also discuss the physical feasibility, via an optical lattice setup. Our proposal illuminates the benefits of quantum integrable systems in the design of atomtronic protocols.

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“…An integrable version of this dipolar model in one dimension, solvable with the algebraic Bethe ansatz, was derived in [39], and by tilting the potential, this model can be brought to the chaotic domain [40]. The tilt is an additional control parameter that expands the versatility of the model and allows for its possible application as an atomtronic switching device [40] and as a generator of entangled states [41]. This is the system that we analyze here, both in its integrable and nonintegrable regimes.…”

Section: Introductionmentioning

confidence: 99%

Quantum-classical correspondence of a system of interacting bosons in a triple-well potential

Castro

Chávez-Carlos

Roditi

et al. 2021

Quantum

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We study the quantum-classical correspondence of an experimentally accessible system of interacting bosons in a tilted triple-well potential. With the semiclassical analysis, we get a better understanding of the different phases of the quantum system and how they could be used for quantum information science. In the integrable limits, our analysis of the stationary points of the semiclassical Hamiltonian reveals critical points associated with second-order quantum phase transitions. In the nonintegrable domain, the system exhibits crossovers. Depending on the parameters and quantities, the quantum-classical correspondence holds for very few bosons. In some parameter regions, the ground state is robust (highly sensitive) to changes in the interaction strength (tilt amplitude), which may be of use for quantum information protocols (quantum sensing).

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Entangled states of dipolar bosons generated in a triple-well potential

Cited by 12 publications

References 31 publications

Protocol designs for NOON states

Protocol designs for NOON states

Atomtronic protocol designs for NOON states

Quantum-classical correspondence of a system of interacting bosons in a triple-well potential

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