Floquet Prethermalization in a Bose-Hubbard System

Rubio-Abadal, Antonio; Ippoliti, Matteo; Hollerith, Simon; Wei, David T.; Rui, Jun; Sondhi, S. L.; Khemani, Vedika; Groß, Christian; Bloch, Immanuel

doi:10.1103/physrevx.10.021044

Cited by 123 publications

(87 citation statements)

References 70 publications

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“…The findings of Ref. [25] demonstrate that the heating rate is exponentially suppressed as a function of Ω in all dimensions. As explained, this observation cannot be accounted by the available theoretical methods.…”

Section: Introductionmentioning

confidence: 92%

“…Recently, the heating rate of the Bose-Hubbard model with one particle per site (n = 1) was studied by Ref. [25], using three methods: (i) the numerical calculation of the linear response of the model; (ii) the experimental measurement of single-site excitations (doublons or holes); (iii) the experimental measurement of the system's temperature. The experiments were performed using ultracold atoms in one and two-dimensional optical lattices.…”

Section: Introductionmentioning

confidence: 99%

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Statistical Floquet prethermalization of the Bose-Hubbard model

Torre

Dentelski

2021

SciPost Phys.

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The manipulation of many-body systems often involves time-dependent forces that cause unwanted heating. One strategy to suppress heating is to use time-periodic (Floquet) forces at large driving frequencies. For quantum spin systems with bounded spectra, it was shown rigorously that the heating rate is exponentially small in the driving frequency. Recently, such exponential suppression of heating has been observed in an experiment with ultracold atoms, realizing a periodically driven Bose-Hubbard model. This model has an unbounded spectrum and, hence, is beyond the reach of previous theoretical approaches. Here, we study this model with two semiclassical approaches valid, respectively, at large and weak interaction strengths. In both limits, we compute the heating rates by studying the statistical probability to encounter a many-body resonance, and obtain a quantitative agreement with the exact diagonalization of the quantum model. Our approach demonstrates the relevance of statistical arguments to Floquet perthermalization of interacting many-body quantum systems.

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Section: Introductionmentioning

confidence: 92%

Section: Introductionmentioning

confidence: 99%

Statistical Floquet prethermalization of the Bose-Hubbard model

Torre

Dentelski

2021

SciPost Phys.

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“…In this model, the stability of the time crystalline behaviour is provided by the extensive set of quasi-local integrals of motion which are characteristic of many-body localized phases occurring at strong disorder [39]. Since original experiments in trapped atomic ions and in nitrogen-vacancy centers [40,41], many other mechanisms for time crystals have been proposed [42][43][44][45][46][47][48][49][50][51][52][53] and observed [54][55][56][57][58]. In all of these systems, the periodic dynamics are split into two parts: the natural dynamics of a system that possesses a Z n symmetry, and a kick process that sequentially switches among the n symmetry sectors.…”

Section: Introductionmentioning

confidence: 99%

Stroboscopic aliasing in long-range interacting quantum systems

et al. 2021

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We unveil a mechanism for generating oscillations with arbitrary multiplets of the period of a given external drive, in long-range interacting quantum many-particle spin systems. These oscillations break discrete time translation symmetry as in time crystals, but they are understood via two intertwined stroboscopic effects similar to the aliasing resulting from video taping a single fast rotating helicopter blade. The first effect is similar to a single blade appearing as multiple blades due to a frame rate that is in resonance with the frequency of the helicopter blades' rotation; the second is akin to the optical appearance of the helicopter blades moving in reverse direction. Analogously to other dynamically stabilized states in interacting quantum many-body systems, this stroboscopic aliasing is robust to detuning and excursions from a chosen set of driving parameters, and it offers a novel route for engineering dynamical n-tuplets in long-range quantum simulators, with potential applications to spin squeezing generation and entangled state preparation.

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“…This paper fits into a growing body of works on the hardness of simulating evolution in continuous time systems (see, for example, Refs. [10][11][12][13][14][15][16]). Like the other protocols, this task is also very likely to be classically intractable once the system becomes sufficiently large.…”

Section: Introductionmentioning

confidence: 99%

Entanglement and complexity of interacting qubits subject to asymmetric noise

Kapit

Roushan

Neill

et al. 2020

Phys. Rev. Research

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The simulation complexity of predicting the time evolution of delocalized many-body quantum systems has attracted much recent interest, and simulations of such systems in real quantum hardware are promising routes to demonstrating a quantum advantage over classical machines. In these proposals, random noise is an obstacle that must be overcome for a faithful simulation, and a single error event can be enough to drive the system to a classically trivial state. We argue that this need not always be the case, and consider a modification to a leading quantum sampling problem-time evolution in an interacting Bose-Hubbard chain of transmon qubits [Neill et al., Science 360, 195 (2018)]-where each site in the chain has a driven coupling to a lossy cavity and particle number is no longer conserved. With cavity noise (but not qubit error) now included in the problem definition, the resulting quantum dynamics are still complex and highly nontrivial. We argue that this problem is harder to simulate than the isolated chain, and that it can achieve volume-law entanglement even in the strong noise limit, likely persisting up to system sizes beyond the scope of classical simulation. Further, we show that the metrics which suggest classical intractability for the isolated chain point to similar conclusions in the noisy case. These results suggest that quantum sampling problems including nontrivial noise could be good candidates for demonstrating a quantum advantage in near-term hardware.

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Floquet Prethermalization in a Bose-Hubbard System

Cited by 123 publications

References 70 publications

Statistical Floquet prethermalization of the Bose-Hubbard model

Statistical Floquet prethermalization of the Bose-Hubbard model

Stroboscopic aliasing in long-range interacting quantum systems

Entanglement and complexity of interacting qubits subject to asymmetric noise

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