Static properties of two linearly coupled discrete circuits

Escrivà, Albert; Richaud, Andrea; Juliá-Dı́az, B.; Guilleumas, M.

doi:10.1088/1361-6455/ac00c4

Cited by 4 publications

(3 citation statements)

References 69 publications

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“…In this way one can explore quantum correlations of the ground state which cannot be extracted from a simple mean-field treatement. Among the quantum properties of the ground state which are highly correlated there are the entanglement entropy, the coherent visibility and the condensate fraction [21][22][23]. Working with a fixed number N of particles, the ground state can be written as…”

Section: Exact Resultsmentioning

confidence: 99%

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Two-site anyonic Josephson junction

Veronese

Salasnich

2022

Phys. Rev. A

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Anyons are particles with intermediate quantum statistics whose wavefunction acquires a phase e iθ by particle exchange. Inspired by proposals of simulating anyons using ultracold atoms trapped in optical lattices, we study a two-site anyonic Josephson junction, i.e. anyons confined in a onedimensional double-well potential. We show, analytically and numerically, that many properties of anyonic Josephson junctions, such as Josephson frequency, imbalanced solutions, macroscopic quantum self-trapping, coherence visibility, and condensate fraction, crucially depend on the anyonic angle θ. Our theoretical predictions are a solid benchmark for near future experimental quantum simulations of anyonic matter in double-well potentials.

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Section: Exact Resultsmentioning

confidence: 99%

“…In our case f 0 is the largest eigenvalue of the 2 × 2 one-body density matrix, whose elements are GS|â + j âk |GS /N with j, k = 1, 2. It is then straightforward to prove (see also [23]) that…”

Section: Exact Resultsmentioning

confidence: 99%

Two-site anyonic Josephson junction

Veronese

Salasnich

2022

Phys. Rev. A

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“…Beyond the intriguing physics afforded by single ring systems, several proposals for two parallel or stacked rings have shown that the persistent current can tunnel between rings in both many-body [17,18] and meanfield studies [19][20][21]. At the single-particle level, persistent current tunneling has been predicted between arrays of adjacent rings and in similar configurations [22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Persistent current oscillations in a double-ring quantum gas

Bland,

Yatsuta,

Edwards

et al. 2022

Preprint

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Vorticity in closed quantum fluid circuits is known to arise in the form of persistent currents. In this work, we develop a method to engineer transport of the quantized vorticity between densitycoupled ring-shaped atomic Bose-Einstein condensates in experimentally accessible regimes. Introducing a tunable weak link between the rings, we observe and characterize the controllable periodic transfer of the current, and investigate the role of temperature on suppressing these oscillations via a range of complementary state-of-the-art numerical methods. Our set-up paves the way for precision measurements of local acceleration and rotation.

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