Non‐equilibrium dynamics in dissipative Bose‐Hubbard chains

Kordas, G.; Witthaut, Dirk; Wimberger, Sandro

doi:10.1002/andp.201400189

Cited by 49 publications

(64 citation statements)

References 62 publications

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“…This system without collisional dephasing has previously been analyzed by Penna [13], in what he named the central depleted well regime. Aspects of a similar system have also been analyzed by Kordas et al [14], who found that phase diffusion could enhance tunneling and damp coherent oscillations in the tunneling. Kordas and others have also analyzed the influence of atomic losses on a Bose-Hubbard system, outlining various useful theoretical approaches [15].…”

Section: Introductionmentioning

confidence: 92%

Negative differential conductivity and quantum statistical effects in a three-site Bose-Hubbard model

Olsen

Corney

2016

Phys. Rev. A

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The use of an electron beam to remove ultracold atoms from selected sites in an optical lattice has opened up new opportunities to study transport in quantum systems [R. Labouvie et al., Phys. Rev. Lett. 115, 050601 (2015)]. Inspired by this experimental result, we examine the effects of number difference, dephasing, and initial quantum statistics on the filling of an initially depleted middle well in the three-well inline Bose-Hubbard model. We find that the well-known phenomenon of macroscopic self-trapping is the main contributor to oscillatory negative differential conductivity in our model, with phase diffusion being a secondary effect. However, we find that phase diffusion is required for the production of direct atomic current, with the coherent process showing damped oscillatory currents. We also find that our results are highly dependent on the initial quantum states of the atoms in the system.

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Section: Introductionmentioning

confidence: 92%

Negative differential conductivity and quantum statistical effects in a three-site Bose-Hubbard model

Olsen

Corney

2016

Phys. Rev. A

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“…Although the results reported here are explained qualitatively within the framework of Gutzwiller meanfield theory for density matrices and Lindblad master equation, it would be desirable in future to verify it using more sophisticated tools like truncated Wigner approximations [47], quantum trajectories method [48] or by constructing density matrix using exact diagonalization techniques, alleviating the limitations of GMFT. A natural extension of the study presented here would be to explore dissipative dynamics in disordered systems, and in particular, the Bose glass phase.…”

Section: Discussionmentioning

confidence: 84%

Interacting bosons in two-dimensional lattices with localized dissipation

Roy

Saha

2019

New J. Phys.

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Motivated by the recent experiments on engineering localized losses in quantum gases, we study the dynamics of interacting bosons in a two-dimensional optical lattice with local dissipation. Together with the Gutzwiller mean-field theory for density matrices and Lindblad master equation, we show how the onsite interaction between bosons affects the particle loss for various strengths of dissipation. For moderate dissipation, the trend in particle loss differs significantly near the superfluid-Mott boundary than the deep superfluid regime. While the loss is suppressed for stronger dissipation in the deep superfluid regime, revealing the typical quantum Zeno effect, the loss near the phase boundary shows non-monotonic dependence on the dissipation strength. We furthermore show that close to the phase boundary, the long-time dissipative dynamics is different from the deep superfluid regime. Thus the loss of particle due to dissipation may act as a probe to differentiate strongly-correlated superfluid regime from its weakly-correlated counterpart.

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“…On the other hand, we explicitly test the robustness of our scheme against dynamical environmental effect, specifically dephasing due to spontaneous emission, which represents the main source of decoherence in optical lattices. The dynamics of the system in the lowest band is typically modeled as a Master equation in Lindblad form [65][66][67]:…”

Section: Environmental Effectsmentioning

confidence: 99%

NOON states via a quantum walk of bound particles

et al. 2017

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Tight-binding lattice models allow the creation of bound composite objects which, in the strong-interacting regime, are protected against dissociation. We show that a local impurity in the lattice potential can generate a coherent split of an incoming bound particle wave-packet which consequently produces a NOON state between the endpoints. This is non trivial because when finite lattices are involved, edge-localization effects make their use for non-classical state generation and information transfer challenging. We derive an effective model to describe the propagation of bound particles in a Bose-Hubbard chain. We introduce local impurities in the lattice potential to inhibit localization effects and to split the propagating bound particle, thus enabling the generation of distant NOON states. We analyze how minimal engineering transfer schemes improve the transfer fidelity and we quantify the robustness to typical decoherence effects in optical lattice implementations. Our scheme potentially has an impact on quantum-enhanced atomic interferometry in a lattice.

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Non‐equilibrium dynamics in dissipative Bose‐Hubbard chains

Cited by 49 publications

References 62 publications

Negative differential conductivity and quantum statistical effects in a three-site Bose-Hubbard model

Negative differential conductivity and quantum statistical effects in a three-site Bose-Hubbard model

Interacting bosons in two-dimensional lattices with localized dissipation

NOON states via a quantum walk of bound particles

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