Constructing quantum many-body scar Hamiltonians from Floquet automata

Rozon, Pierre-Gabriel; Gullans, Michael; Agarwal, Kartiek

doi:10.48550/arxiv.2112.12153

Cited by 3 publications

(4 citation statements)

References 39 publications

(85 reference statements)

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“…Automaton circuits also provide a tractable setting to study subdiffusive hydrodynamics and kinetically-constrained dynamics (242,196,243,244,245), a type of measurement transition (246), and integrability (247,248,249,250). Floquet automaton circuits have also been a starting point for constructing fully quantum-mechanical Floquet models with exact, non-thermal ("scarred") eigenstates (251,252,253). A notable example is the integrable, Floquet circuit corresponding to the Rule 54 cellular automaton, which implements a simple structured dynamics involving conserved left/right moving solitons.…”

Section: Floquetmentioning

confidence: 99%

Random Quantum Circuits

Fisher¹,

Khemani²,

Nahum³

et al. 2022

Preprint

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Quantum circuits -built from local unitary gates and local measurements -are a new playground for quantum many-body physics and a tractable setting to explore universal collective phenomena far-fromequilibrium. These models have shed light on longstanding questions about thermalization and chaos, and on the underlying universal dynamics of quantum information and entanglement. In addition, such models generate new sets of questions and give rise to phenomena with no traditional analog, such as new dynamical phases in quantum systems that are monitored by an external observer. Quantum circuit dynamics is also topical in view of experimental progress in building digital quantum simulators that allow control of precisely these ingredients. Randomness in the circuit elements allows a high level of theoretical control, with a key theme being mappings between real-time quantum dynamics and effective classical lattice models or dynamical processes. Many of the universal phenomena that can be identified in this tractable setting apply to much wider classes of more structured many-body dynamics.

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Section: Floquetmentioning

confidence: 99%

Random Quantum Circuits

Fisher¹,

Khemani²,

Nahum³

et al. 2022

Preprint

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show abstract

“…There have been various studies of how such a heat death may be avoided, at least on long timescales (118,119,190). A variety of works, including the experiment in Reference 148, have studied periodically driven variants of the PXP model (191)(192)(193)(194)(195)(196)(197) and found both exact and approximate scarring. Notably, for a particular choice of periodic driving, the PXP model can be fine-tuned to integrability (195)(196)(197).…”

Section: Discussionmentioning

confidence: 99%

“…A variety of works, including the experiment in Reference 148, have studied periodically driven variants of the PXP model (191)(192)(193)(194)(195)(196)(197) and found both exact and approximate scarring. Notably, for a particular choice of periodic driving, the PXP model can be fine-tuned to integrability (195)(196)(197). References 148 and 194 propose an intriguing connection between scarring and discrete time crystals (198)(199)(200)(201) that deserves further exploration.…”

Section: Discussionmentioning

confidence: 99%

Quantum Many-Body Scars: A Quasiparticle Perspective

Chandran

Iadecola

Khemani

et al. 2023

Annu. Rev. Condens. Matter Phys.

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Weakly interacting quasiparticles play a central role in the low-energy description of many phases of quantum matter. At higher energies, however, quasiparticles cease to be well defined in generic many-body systems owing to a proliferation of decay channels. In this review, we discuss the phenomenon of quantum many-body scars, which can give rise to certain species of stable quasiparticles throughout the energy spectrum. This goes along with a set of unusual nonequilibrium phenomena including many-body revivals and nonthermal stationary states. We provide a pedagogical exposition of this physics via a simple yet comprehensive example, that of a spin-1 XY model. We place our discussion in the broader context of symmetry-based constructions of many-body scar states, projector embeddings, and Hilbert space fragmentation. We conclude with a summary of experimental progress and theoretical puzzles. Expected final online publication date for the Annual Review of Condensed Matter Physics, Volume 14 is March 2023. Please see http://www.annualreviews.org/page/journal/pubdates for revised estimates.

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“…Automaton circuits also provide a tractable setting to study subdiffusive hydrodynamics and kinetically constrained dynamics (173,(254)(255)(256)(257), a type of measurement transition (258), and integrability (259-263). Floquet automaton circuits have also been a starting point for constructing fully quantum mechanical Floquet models with exact, nonthermal (scarred) eigenstates (264)(265)(266). A notable example is the integrable, Floquet circuit corresponding to the Rule 54 cellular automaton, which implements a simple structured dynamics involving conserved left/right moving solitons.…”

Section: Classically Simulable Circuitsmentioning

confidence: 99%

Random Quantum Circuits

Fisher

Khemani

Nahum

et al. 2023

Annu. Rev. Condens. Matter Phys.

175

View full text Add to dashboard Cite

Quantum circuits—built from local unitary gates and local measurements—are a new playground for quantum many-body physics and a tractable setting to explore universal collective phenomena far from equilibrium. These models have shed light on longstanding questions about thermalization and chaos, and on the underlying universal dynamics of quantum information and entanglement. In addition, such models generate new sets of questions and give rise to phenomena with no traditional analog, such as dynamical phase transitions in quantum systems that are monitored by an external observer. Quantum circuit dynamics is also topical in view of experimental progress in building digital quantum simulators that allow control of precisely these ingredients. Randomness in the circuit elements allows a high level of theoretical control, with a key theme being mappings between real-time quantum dynamics and effective classical lattice models or dynamical processes. Many of the universal phenomena that can be identified in this tractable setting apply to much wider classes of more structured many-body dynamics. Expected final online publication date for the Annual Review of Condensed Matter Physics, Volume 14 is March 2023. Please see http://www.annualreviews.org/page/journal/pubdates for revised estimates.

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Constructing quantum many-body scar Hamiltonians from Floquet automata

Cited by 3 publications

References 39 publications

Random Quantum Circuits

Random Quantum Circuits

Quantum Many-Body Scars: A Quasiparticle Perspective

Random Quantum Circuits

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