Twofold correlation spreading in a strongly correlated lattice Bose gas

Despres, Julien; Villa, Louis; Sanchez-Palencia, Laurent

doi:10.1038/s41598-019-40679-3

Cited by 26 publications

(30 citation statements)

References 63 publications

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“…It is consistent with the emergence of a unique characteristic velocity, faster than the speed of sound, in the vicinity of the causal cone as reported in Ref. [32] (see also Ref. [58]).…”

supporting

confidence: 92%

“…For instance, it has long been recognized that the Lieb-Robinson bound for information spreading in short-range lattice models may be related to the maximum group velocity [28][29][30]. More recently, it has been shown that the structure of correlations in the vicinity of the causal edge can be related to basic properties of the elementary excitations, including characteristic velocities, dynamical exponents, and gaps [31,32].…”

mentioning

confidence: 99%

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Unraveling the excitation spectrum of many-body systems from quantum quenches

2019

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Quenches are now routinely used in synthetic quantum systems to study a variety of fundamental effects, including ergodicity breaking, light-cone-like spreading of information, and dynamical phase transitions. It was shown recently that the dynamics of equal-time correlators may be related to ground-state phase transitions and some properties of the system excitations. Here, we show that the full low-lying excitation spectrum of a generic many-body quantum system can be extracted from the after-quench dynamics of equal-time correlators. We demonstrate it for a variety of one-dimensional lattice models amenable to exact numerical calculations, including Bose and spin models, with short or long range interactions. The approach also applies to higher dimensions, correlated fermions, and continuous models. We argue that it provides an alternative approach to standard pump-probe spectroscopic methods and discuss its advantages.2E k J = 4 2 sin 2 (k/2) 2 sin 2 (k/2) +n U J ,

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“…It is consistent with the emergence of a unique characteristic velocity, faster than the speed of sound, in the vicinity of the causal cone as reported in Ref. [32] (see also Ref. [58]).…”

supporting

confidence: 92%

mentioning

confidence: 99%

Unraveling the excitation spectrum of many-body systems from quantum quenches

2019

Self Cite

View full text Add to dashboard Cite

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“…The presence of this Lieb-Robinson boundary has been observed in many theoretical and experimental studies [3][4][5][6][7][8][9][10][11][12], e.g. the first experimental evidence was achieved in the system of a one-dimensional quantum gas trapped in an optical lattice [5].…”

Section: Introductionmentioning

confidence: 85%

Diffusion of excitations and power-law localization in strongly disordered systems with long-range coupling

Kawa

Machnikowski

2020

Phys. Rev. B

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We investigate the spread of correlations carried by an excitation in a 1-dimensional lattice system with high on-site energy disorder and long-range couplings with a power-law dependence on the distance (∝ r −µ ). The increase in correlation between the initially quenched node and a given node exhibits three phases: quadratic in time, linear in time, and saturation. No further evolution is observed in the long time regime. We find an approximate solution of the model valid in the limit of strong disorder and reproduce the results of numerical simulations with analytical formulas. We also find the time needed to reach a given correlation value as a measure of the propagation speed. Because of the triple phase evolution of the correlation function the propagation changes its time dependence. In the particular case of µ = 1, the propagation starts as a ballistic motion, then, at a certain crossover time, turns into standard diffusion.

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“…In particular, direct comparisons between experimental and numerical outputs have been made for dynamical spreading of two-point spatial correlations of the Bose-Hubbard model [1,3,[12][13][14][15], which can be realized experimentally with ultracold bosons in optical lattices [16]. The correlation spreading has attracted much theoretical interest [12][13][14][15][17][18][19][20][21][22][23][24] in the sense that it is closely related to fundamental phenomena, including the propagation of quantum information and the thermalization. In one spatial dimension, quasi-exact numerical methods based on matrix product states (MPSs) have been used to validate the performance of the quantum simulators [1,3,12].…”

mentioning

confidence: 99%

Tensor-network study of correlation-spreading dynamics in the two-dimensional Bose-Hubbard model

Kaneko,

Danshita

2021

Preprint

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We analyze real-time dynamics of the two-dimensional Bose-Hubbard model after a sudden quench starting from the Mott insulator by means of the two-dimensional tensor-network method. Calculated single-particle correlation functions are found to be in good agreement with a recent experiment [Y. Takasu et al., Sci. Adv. 6, eaba9255 (2020)], which cross validates the experiment and the numerical simulation. By estimating the phase and group velocities from the single-particle and density-density correlation functions, we predict how these velocities vary in the moderate interaction region, which will be useful for future experiments.

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Twofold correlation spreading in a strongly correlated lattice Bose gas

Cited by 26 publications

References 63 publications

Unraveling the excitation spectrum of many-body systems from quantum quenches

Unraveling the excitation spectrum of many-body systems from quantum quenches

Diffusion of excitations and power-law localization in strongly disordered systems with long-range coupling

Tensor-network study of correlation-spreading dynamics in the two-dimensional Bose-Hubbard model

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