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16. COVER

Author

Sinha, Ajay

Published
2023

23. INDEX

Author

Sinha, Ajay

Published
2023

25. NOTES

Author

Sinha, Ajay

Published
2023

28. PRELUDE

Author

Sinha, Ajay

Published
2023

39. Exploring the properties of quantum scars in a toy model

Author

Sinha, Sudip and Sinha, S.

Subjects
Condensed Matter - Statistical Mechanics, Quantum Physics
Abstract

We introduce the concept of ergodicity and explore its deviation caused by quantum scars in an isolated quantum system, employing a pedagogical approach based on a toy model. Quantum scars, originally identified as traces of classically unstable orbits in certain wavefunctions of chaotic systems, have recently regained interest for their role in non-ergodic dynamics, as they retain memory of their initial states. We elucidate these features of quantum scars within the same framework of this toy model. The integrable part of the model consists of two large spins, with a classical counterpart, which we combine with a random matrix to induce ergodic behavior. Scarred states can be selectively generated from the integrable spin Hamiltonian by protecting them from the ergodic states using a projector method. Deformed projectors mimic the 'quantum leakage' of scarred states, enabling tunable mixing with ergodic states and thereby controlling the degree of scarring. In this simple model, we investigate various properties of quantum scarring and shed light on different aspects of many-body quantum scars observed in more complex quantum systems. Notably, the underlying classicality can be revealed through the entanglement spectrum and the dynamics of 'out-of-time-ordered correlators'.

Published
2024

44. Index

Author

Sinha, Amita

Published
2020

45. Notes

Author

Sinha, Amita

Published
2020

48. Glossary

Author

Sinha, Amita

Published
2020

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