Coherent Backscattering in Fock Space: A Signature of Quantum Many-Body Interference in Interacting Bosonic Systems

Engl, Thomas; Dujardin, Julien; Argüelles, Arturo; Schlagheck, Peter; Richter, Klaus; Urbina, Juan Diego

doi:10.1103/physrevlett.112.140403

Cited by 64 publications

(116 citation statements)

References 39 publications

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“…This current is suppressed by dynamical self-trapping due to interactions producing again very stable solitonic states of atoms. New questions for future research include the presence of disorder [45,46] and its impact on many-body quantum transport. Also the simultaneous presence of transport and coherent driving may be investigated, see e.g.…”

Section: Discussionmentioning

confidence: 99%

Non‐equilibrium dynamics in dissipative Bose‐Hubbard chains

2015

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Open many-body quantum systems have recently gained renewed interest in the context of quantum information science and quantum transport with biological clusters and ultracold atomic gases. We present a series of results in diverse setups based on a Master equation approach to describe the dissipative dynamics of ultracold bosons in a one-dimensional lattice. We predict the creation of mesoscopic stable many-body structures in the lattice and study the non-equilibrium transport of neutral atoms in the regime of strong and weak interactions.

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Section: Discussionmentioning

confidence: 99%

Non‐equilibrium dynamics in dissipative Bose‐Hubbard chains

2015

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“…As a final note, we report that a semiclassical approach based on interfering paths in Fock space has been recently introduced directly for discrete systems, such as for a closed BoseHubbard model [174][175][176]. Also a semiclassical Gutzwiller trace formula is brought forward [177] for the Bose-Hubbard model in the chaotic regime [178][179][180][181].…”

Section: Discussionmentioning

confidence: 99%

The dissipative Bose-Hubbard model

Kordas

Witthaut

Buonsante

et al. 2015

Eur. Phys. J. Spec. Top.

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Open many-body quantum systems have attracted renewed interest in the context of quantum information science and quantum transport with biological clusters and ultracold atomic gases. The physical relevance in many-particle bosonic systems lies in the realization of counterintuitive transport phenomena and the stochastic preparation of highly stable and entangled many-body states due to engineered dissipation. We review a variety of approaches to describe an open system of interacting ultracold bosons which can be modeled by a tight-binding Hubbard approximation. Going along with the presentation of theoretical and numerical techniques, we present a series of results in diverse setups, based on a master equation description of the dissipative dynamics of ultracold bosons in a one-dimensional lattice. Next to by now standard numerical methods such as the exact unravelling of the master equation by quantum jumps for small systems and beyond mean-field expansions for larger ones, we present a coherent-state path integral formalism based on Feynman-Vernon theory applied to a many-body context.

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“…With N → ∞, one can replace the annihilation and creation operators by complex numbers [36,[48][49][50][51][52][53][54][55][56][57][58][59]:…”

Section: D Bose-hubbard Modelmentioning

confidence: 99%

“…[49,59], one can write down the semiclassical transition probability between different Fock states of the BH model as follows:…”

Section: B Semiclassical and Classical Transition Probabilitiesmentioning

confidence: 99%

Understanding quantum work in a quantum many-body system

Wang

Quan

2017

Phys. Rev. E

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Based on previous studies in a single-particle system in both the integrable [Jarzynski, Quan, and Rahav, Phys. Rev. X 5, 031038 (2015)] and the chaotic systems [Zhu, Gong, Wu, and Quan, Phys. Rev. E 93, 062108 (2016)], we study the the correspondence principle between quantum and classical work distributions in a quantum many-body system. Even though the interaction and the indistinguishability of identical particles increase the complexity of the system, we find that for a quantum many-body system the quantum work distribution still converges to its classical counterpart in the semiclassical limit. Our results imply that there exists a correspondence principle between quantum and classical work distributions in an interacting quantum many-body system, especially in the large particle number limit, and further justify the definition of quantum work via two-point energy measurements in quantum many-body systems.

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Coherent Backscattering in Fock Space: A Signature of Quantum Many-Body Interference in Interacting Bosonic Systems

Cited by 64 publications

References 39 publications

Non‐equilibrium dynamics in dissipative Bose‐Hubbard chains

Non‐equilibrium dynamics in dissipative Bose‐Hubbard chains

The dissipative Bose-Hubbard model

Understanding quantum work in a quantum many-body system

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