Genuine Many-Body Quantum Scars along Unstable Modes in Bose-Hubbard Systems

Hummel, Quirin; Richter, Klaus; Schlagheck, Peter

doi:10.1103/physrevlett.130.250402

Cited by 16 publications

(3 citation statements)

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“…Interestingly, the restoration of quantum ergodicity in the DM has been reported even when most of the eigenstates contain scar [362]. Strong evidence of MBQS has also been theoretically observed in a 1D homogeneous Bose-Hubbard model in the absence of any dynamical constraint, where scarring occurs in the vicinity of the unstable classical mean-field configurations [120].…”

Section: Quantum Scarring Phenomena In Collective Modelsmentioning

confidence: 78%

“…The retention of memory of the initial states leading to revival dynamics due to a vanishingly small fraction of athermal states in the ergodic regime is a defining feature of weak ergodicity breaking [95]. Motivated by this experiment, a huge impetus has been generated to theoretically study the mechanism behind the formation of MBQS in different models, particularly in the 'PXP' chain [93,94,[98][99][100][101][102][103][104][105][106], Affleck-Kennedy-Lieb-Tasaki (AKLT) model [107][108][109][110][111], spin-1 XY magnets [112,113], Hubbard models [114][115][116][117][118][119][120][121], and many more [122][123][124][125][126][127][128][129][130][131][132][133][134][135][136][137][138][139]. Apart from the Rydberg quantum simulator, the MBQS h...…”

Section: Introductionmentioning

confidence: 99%

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Classical route to ergodicity and scarring in collective quantum systems

Sinha,

Ray,

Sinha

2024

J. Phys.: Condens. Matter

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Ergodicity, a fundamental concept in statistical mechanics, is not yet a fully understood phenomena for closed quantum systems, particularly its connection with the underlying chaos. In this review, we consider a few examples of collective quantum systems to unveil the intricate relationship of ergodicity as well as its deviation due to quantum scarring phenomena with their classical counterpart. A comprehensive overview of classical and quantum chaos is provided, along with the tools essential for their detection. Furthermore, we survey recent theoretical and experimental advancements in the domain of ergodicity and its violations. This review aims to illuminate the classical perspective of quantum scarring phenomena in interacting quantum systems.

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Section: Quantum Scarring Phenomena In Collective Modelsmentioning

confidence: 78%

Section: Introductionmentioning

confidence: 99%

Classical route to ergodicity and scarring in collective quantum systems

Sinha,

Ray,

Sinha

2024

J. Phys.: Condens. Matter

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“…Thus, in some cases many-body quantum scarring may be a result of at least some partial local integrable or near-integrable dynamics. Nevertheless, there exists at least one example in the many-body context in which the explicit connection to unstable periodic mean-field solutions has been made [81]. With the keen current interest in many-body periodic or partially periodic dynamics [82,83], it is worth looking at how optimal quantum coherent control can be utilized to stabilize periodic dynamics in a many-body system.…”

Section: Stabilizing Periodic Trajectoriesmentioning

confidence: 99%

Controlling many-body quantum chaos: Bose–Hubbard systems

Beringer,

Steinhuber,

Diego Urbina

et al. 2024

New J. Phys.

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This work develops a quantum control application of many-body quantum chaos for ultracold bosonic gases trapped in optical lattices. It is long known how to harness exponential sensitivity to changes in initial conditions for control purposes in classically chaotic systems. In the technique known as targeting, instead of a hindrance to control, the instability becomes a resource. Recently, this classical targeting has been generalized to quantum systems either by periodically countering the inevitable quantum state spreading or by introducing a control Hamiltonian, where both enable localized states to be guided along special chaotic trajectories toward any of a broad variety of desired target states. Only strictly unitary dynamics are involved; i.e. it gives a coherent quantum targeting. In this paper, the introduction of a control Hamiltonian is applied to Bose–Hubbard systems in chaotic dynamical regimes. Properly selected unstable mean field solutions can be followed particularly rapidly to states possessing precise phase relationships and occupancies. In essence, the method generates a quantum simulation technique that can access rather special states. The protocol reduces to a time-dependent control of the chemical potentials, opening up the possibility for application in optical lattice experiments. Explicit applications to custom state preparation and stabilization of quantum many-body scars are presented in one- and two-dimensional lattices (three-dimensional applications are similarly possible).

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