Abstract

Quantum Many-Body Scars Consist Of A Few Low-Entropy Eigenstates In An Otherwise Chaotic Many-Body Spectrum, And Can Weakly Break Ergodicity Resulting In Robust Oscillatory Dynamics. The Notion Of Quantum Many-Body Scars Follows The Original Single-Particle Scars Introduced Within The Context Of Quantum Billiards, Where Scarring Manifests In The Form Of A Quantum Eigenstate Concentrating Around An Underlying Classical Unstable Periodic Orbit. A Direct Connection Between These Notions Remains An Outstanding Problem. Here, We Study A Many-Body Spinor Condensate That, Owing To Its Collective Interactions, Is Amenable To The Diagnostics Of Scars. We Characterize The System's Rich Dynamics, Spectrum, And Phase Space, Consisting Of Both Regular And Chaotic States. The Former Are Low In Entropy, Violate The Eigenstate Thermalization Hypothesis, And Can Be Traced Back To Integrable Effective Hamiltonians, Whereas Most Of The Latter Are Scarred By The Underlying Semiclassical Unstable Periodic Orbits, While Satisfying The Eigenstate Thermalization Hypothesis. We Outline An Experimental Proposal To Probe Our Theory In Trapped Spin-1 Bose-Einstein Condensates.

Department(s)

Physics

Comments

National Science Foundation, Grant 2116679

International Standard Serial Number (ISSN)

1079-7114; 0031-9007

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 American Physical Society, All rights reserved.

Publication Date

12 Jan 2024

PubMed ID

38277581

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Physics Commons

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