Finite-size effects in a bosonic Josephson junction

Wimberger, Sandro; Manganelli, Gabriele; A., Brollo,; Salasnich, Luca

doi:10.1103/physreva.103.023326

Cited by 11 publications

(9 citation statements)

References 36 publications

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“…In the previous section we have used a time-dependent variational ansatz with coherent states. As discussed in [20], this mean-field approach is quite reliable in the description of the short-time collective dynamics of the bosonic Josephson junction for 0 ≤ |U/J| ≪ N . However, in the regime where |U/J| ≫ N , a full manybody quantum treatment is needed.…”

Section: Exact Resultsmentioning

confidence: 93%

“…where j = 1, 2 and β j ∈ C. These Glauber coherent states are not eigenstates of number operators but there are extremely reliable in describing many-body properties of bosonic Josephson junctions in the case of a large number N of bosons (N ≫ 1) under the condition |U/(2J)| ≪ N [20]. From these definitions it follows that…”

Section: Mean-field Analysis With Coherent Statesmentioning

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: 93%

Section: Mean-field Analysis With Coherent Statesmentioning

confidence: 99%

Two-site anyonic Josephson junction

Veronese

Salasnich

2022

Phys. Rev. A

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“…The phase model approach is the starting point of many theoretical studies of Josephson junctions. For example, the effect of the finite size of the system had been tackled by using the so-called atomic coherent states [29]. In this case, the computation of corrections to the MQST critical strength was shown to be particularly subtle.…”

Section: Introductionmentioning

confidence: 99%

Quantum fluctuations in atomic Josephson junctions: the role of dimensionality

Bardin,

Lorenzi,

Salasnich

2024

New J. Phys.

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We investigate the role of quantum fluctuations in the dynamics of a bosonic Josephson junction in $D$ spatial dimensions, by using beyond mean-field Gaussian corrections. We derive some key dynamical properties in a systematic way for $D=1, 2, 3$, namely, we compute the Josephson frequency in the low population imbalance limit, and we obtain the critical strength of the macroscopic quantum self-trapping. Our results show that the quantum corrections increase Josephson frequency in the $D=2, 3$ case, and a decrease in the $D=1$ case. Also, we show that the macroscopic quantum self-trapping critical strength is decreased in the $D=2, 3$ case, and increased in the $D=1$ case with respect to the mean-field calculations. We show that the difference between the cases of $D=2$ and $D=3$ on one side, and $D=1$ on the other, can be related to the qualitatively different dependence of the interaction strength on the scattering length in the different dimensions.

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“…It also distinguishes itself from other types of many-body localization, where the interplay of interactions and disorder is involved [8,9,28]. In this article, we focus on the BJJ, which has been studied intensively in the semiclassical limit [29][30][31][32] and realized experimentally [33][34][35][36][37]. It is found that the entanglement transition and different properties are strongly related to the HSL.…”

Section: Introductionmentioning

confidence: 99%

Entanglement transition through Hilbert-space localization

Liu

Ziegler

2023

Phys. Rev. A

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We study Hilbert-space localization of the many-body dynamics due to ergodicity breaking and analyze this effect in terms of the entanglement entropy and the entanglement spectrum. We find a transition from a regime driven by quantum tunneling to a regime that is dominated by boson-boson interaction, where the latter exhibits ergodicity breaking. Properties of this transition are captured by observation time averaging, which effectively suppresses the large dynamical entanglement fluctuations near the critical point. We employ this approach to the experimentally available bosonic Josephson junction. In this example, the transition from a tunneling regime to Hilbert-space localization reveals clear signatures in the entanglement entropy and entanglement spectrum. Interestingly, the transition point is reduced by quantum effects in comparison to the well-known result of the mean-field approximation in the form of self-trapping. This indicates that quantum fluctuations reduce the classical self-trapping. Different scaling with respect to the number of bosons, N, is found in the tunneling and the localization regime: While the entanglement entropy grows logarithmically with N in the tunneling regime, it increases linearly in the localized regime. Our results indicate that entanglement provides a concept for a sensitive diagnosis for the transition from a quantum tunneling regime to Hilbert-space localization.

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Finite-size effects in a bosonic Josephson junction

Cited by 11 publications

References 36 publications

Two-site anyonic Josephson junction

Two-site anyonic Josephson junction

Quantum fluctuations in atomic Josephson junctions: the role of dimensionality

Entanglement transition through Hilbert-space localization

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