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Quantum Scars and Regular Eigenstates in a Chaotic Spinor Condensate
Bertrand Evrard1, Andrea Pizzi2, Simeon I Mistakidis2,3
1Institute for Quantum Electronics, ETH Zürich, CH-8093 Zürich, Switzerland.
Physical Review Letters
|January 26, 2024
Summary
Quantum many-body scars, few low-entropy states in chaotic spectra, can break ergodicity. This study connects single-particle and many-body scars in spinor condensates, revealing scarred chaotic states linked to classical orbits.
Area of Science:
- Quantum physics
- Condensed matter physics
- Quantum chaos
Background:
- Quantum many-body scars are rare low-entropy eigenstates within chaotic spectra, weakly breaking ergodicity and causing oscillations.
- Scars in quantum billiards relate to classical unstable periodic orbits, but a direct many-body connection is unclear.
Purpose of the Study:
- To investigate the connection between single-particle and many-body scars.
- To characterize the dynamics, spectrum, and phase space of a many-body spinor condensate for scar diagnostics.
- To explore how collective interactions influence quantum scarring.
Main Methods:
- Analysis of a many-body spinor condensate system.
- Characterization of system dynamics, energy spectrum, and phase space.
- Identification of regular and chaotic states and their properties.
Main Results:
- Identified both regular and chaotic states within the condensate's phase space.
- Regular states are low-entropy, violate the eigenstate thermalization hypothesis, and link to integrable Hamiltonians.
- Chaotic states are often scarred by semiclassical unstable periodic orbits and satisfy the eigenstate thermalization hypothesis.
Conclusions:
- Established a link between collective interactions in spinor condensates and quantum many-body scars.
- Demonstrated that many-body scars can be associated with underlying classical dynamics.
- Proposed an experimental verification in trapped spin-1 Bose-Einstein condensates.
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