Many-Body Effects in Fragmented, Depleted, and Condensed Bosonic Systems in Traps and Optical Cavities by MCTDHB and MCTDH-X

Alon, Ofir E.; Beinke, Raphael; Bruder, Christoph; Cederbaum, Lorenz S.; Klaiman, Shachar; Lode, Axel U. J.; Sakmann, Kaspar; Theisen, Marcus; Tsatsos, Marios C.; Weiner, Storm E.; Streltsov, Alexej I.

doi:10.1007/978-3-319-68394-2_6

Cited by 8 publications

(5 citation statements)

References 81 publications

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“…Our results complement the recent findings, that the variances of observables are sensitive probes of correlations in the state of ultracold atomic systems [ 9 , 38 , 39 , 40 , 41 , 42 , 43 , 96 , 98 ].…”

Section: Discussionsupporting

confidence: 89%

“…In References [ 62 , 68 , 69 , 85 , 87 , 88 , 93 , 94 , 95 , 96 , 97 ], an intricate connection of angular momentum content and the presence of correlations or the fragmentation of many-boson states has been pointed out. This motivates us to analyze the time-evolution of the eigenvalues of the reduced one-body density matrix as a precursor of correlations and the departure of the analyzed state from a mean-field description; we, thus, underpin the limitations of a mean-field description, see Figure 4 for a plot of

as a function of time and strength B of the AMF.…”

Section: Resultsmentioning

confidence: 99%

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Dynamics of Ultracold Bosons in Artificial Gauge Fields—Angular Momentum, Fragmentation, and the Variance of Entropy

Lode

Dutta

Lévêque

2021

Entropy

Self Cite

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We consider the dynamics of two-dimensional interacting ultracold bosons triggered by suddenly switching on an artificial gauge field. The system is initialized in the ground state of a harmonic trapping potential. As a function of the strength of the applied artificial gauge field, we analyze the emergent dynamics by monitoring the angular momentum, the fragmentation as well as the entropy and variance of the entropy of absorption or single-shot images. We solve the underlying time-dependent many-boson Schrödinger equation using the multiconfigurational time-dependent Hartree method for indistinguishable particles (MCTDH-X). We find that the artificial gauge field implants angular momentum in the system. Fragmentation—multiple macroscopic eigenvalues of the reduced one-body density matrix—emerges in sync with the dynamics of angular momentum: the bosons in the many-body state develop non-trivial correlations. Fragmentation and angular momentum are experimentally difficult to assess; here, we demonstrate that they can be probed by statistically analyzing the variance of the image entropy of single-shot images that are the standard projective measurement of the state of ultracold atomic systems.

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Section: Discussionsupporting

confidence: 89%

as a function of time and strength B of the AMF.…”

Section: Resultsmentioning

confidence: 99%

Dynamics of Ultracold Bosons in Artificial Gauge Fields—Angular Momentum, Fragmentation, and the Variance of Entropy

Lode

Dutta

Lévêque

2021

Entropy

Self Cite

View full text Add to dashboard Cite

show abstract

“…Our results complement the recent findings, that the variances of observables are sensitive probes of correlations in the state of ultracold atomic systems [9,38,40,[42][43][44][45]91,93].…”

Section: Discussionsupporting

confidence: 89%

“…In Refs. [58,65,66,81,83,84,[88][89][90][91][92], an intricate connection of angular momentum content and the presence of correlations or the fragmentation of many-boson states has been pointed out. This motivates us to analyze the time-evolution of the eigenvalues of the reduced one-body density matrix as a precursor of correlations and the departure of the analyzed state from a mean-field description; we, thus, underpin the limitations of a mean-field description, see Fig.…”

Section: Resultsmentioning

confidence: 99%

Dynamics of Ultracold Bosons in Artificial Gauge Fields: Angular Momentum, Fragmentation, and the Variance of Entropy

Lode,

Dutta,

Lévêque

2020

Preprint

Self Cite

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We consider the dynamics of two-dimensional interacting ultracold bosons triggered by suddenly switching on an artificial gauge field. The system is initialized in the ground state of a harmonic trapping potential. As a function of the strength of the applied artificial gauge, we analyze the emergent dynamics by monitoring the angular momentum, the fragmentation as well the entropy and variance of the entropy of absorption or single-shot images. We solve the underlying time-dependent many-boson Schrödinger equation using the multiconfigurational time-dependent Hartree method for indistinguishable particles (MCTDH-X). We find that the artificial gauge field implants angular momentum in the system. Fragmentation -multiple macroscopic eigenvalues of the reduced one-body density matrix -emerges in sync with the dynamics of angular momentum: the bosons in the many-body state develop non-trivial correlations. Fragmentation and angular momentum are experimentally difficult to assess; here, we demonstrate that they can be probed by statistically analyzing the variance of the image entropy of single-shot images that are the standard projective measurement of the state of ultracold atomic systems.

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“…A subgroup of them aims at a better description of correlations induced by the intrinsic atom-atom interactions, but still treating the atom-cavity correlations at a mean-field level and including only the coherent part α of the cavity field operator â. These methods include dynamical mean-field approaches [104,105], multiconfigurational time-dependent Hartree [106], exact diagonalization [107], and quantum Monte Carlo [108]. On the other hand, other beyond-mean-field methods have been developed that also take into account the atom-cavity quantum correlations and therefore the role of cavity-induced noise in the steady state of the system.…”

Section: Analytical and Numerical Methods Beyond The Mean-field Approachmentioning

confidence: 99%

Cavity QED with Quantum Gases: New Paradigms in Many-Body Physics

Mivehvar,

Piazza,

Donner

et al. 2021

Preprint

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We review the recent developments and the current status in the field of quantum-gas cavity QED. Since the first experimental demonstration of atomic self-ordering in a system composed of a Bose-Einstein condensate coupled to a quantized electromagnetic mode of a high-Q optical cavity, the field has rapidly evolved over the past decade. The composite quantum-gas-cavity systems offer the opportunity to implement, simulate, and experimentally test fundamental solid-state Hamiltonians, as well as to realize non-equilibrium many-body phenomena beyond conventional condensed-matter scenarios. This hinges on the unique possibility to design and control in open quantum environments photon-induced tunable-range interaction potentials for the atoms using tailored pump lasers and dynamic cavity fields. Notable examples range from Hubbard-like models with long-range interactions exhibiting a lattice-supersolid phase, over emergent magnetic orderings and quasicrystalline symmetries, to the appearance of dynamic gauge potentials and nonequilibrium topological phases. Experiments have managed to load spin-polarized as well as spinful quantum gases into various cavity geometries and engineer versatile tunablerange atomic interactions. This led to the experimental observation of spontaneous discrete and continuous symmetry breaking with the appearance of soft-modes as well as supersolidity, density and spin self-ordering, dynamic spin-orbit coupling, and non-equilibrium dynamical self-ordered phases among others. In addition, quantum-gas-cavity setups offer new platforms for quantum-enhanced measurements. In this review, starting from an introduction to basic models, we pedagogically summarize a broad range of theoretical developments and put them in perspective with the current and near future state-of-art experiments.

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Many-Body Effects in Fragmented, Depleted, and Condensed Bosonic Systems in Traps and Optical Cavities by MCTDHB and MCTDH-X

Cited by 8 publications

References 81 publications

Dynamics of Ultracold Bosons in Artificial Gauge Fields—Angular Momentum, Fragmentation, and the Variance of Entropy

Dynamics of Ultracold Bosons in Artificial Gauge Fields—Angular Momentum, Fragmentation, and the Variance of Entropy

Dynamics of Ultracold Bosons in Artificial Gauge Fields: Angular Momentum, Fragmentation, and the Variance of Entropy

Cavity QED with Quantum Gases: New Paradigms in Many-Body Physics

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