Symmetry- and energy-resolved entanglement dynamics in a disordered Bose-Hubbard model
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866912606577491968 |
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| author | Chen, Jie Chen, Chun Wang, Xiaoqun |
| author_facet | Chen, Jie Chen, Chun Wang, Xiaoqun |
| contents | Using numerical quantum quenches with the integration of both symmetry and energy resolutions, we comprehensively study the dynamics of symmetry-resolved entanglement in a disordered Bose-Hubbard (dBH) model, concentrating on the two types of inhomogeneous initial states to target the lower- and higher-energy sections of its dynamical phase diagram. (i) Motivated by the recent experiment [A. Lukin et al., Science 364, 256 (2019)] which focused on the lower-energy dynamic behaviors of the dBH chain, we first show that, at low energies, for a thermalizing state, although the second law of thermodynamics prohibits the decrease of the total entropy over time, for part of the channel-resolved entropies, a long-term entropic reduction may arise at weak disorder. (ii) A companion channel-resolved analysis at strong disorder further hints that the priorly observed double-log growth of the number entropy might not directly indicate the breakdown of MBL in spin or fermion chains, providing a refreshing perspective on this major controversy in the community. (iii) From time-evolving the line-shape low-energy product state, we subsequently reveal an abrupt formation of a novel "entropy imbalance pattern" across the different symmetry channels. Intriguingly, this imbalance melts in the strong-disorder limit. We conjecture that the melting of the entropic pattern, together with the freezing of a concurrent particle-density wave, embodies a dual trait inherent to MBL. (iv) Specifically, we find a cluster MBL regime, unique to the Bose statistics, emerging from the higher-energy section. This cluster MBL regime realizable even at weak disorder appears not suffer from the finite-size drift and is distinguished by its absence of the hallmark of MBL - the unbounded growth of the entanglement entropy. Our theoretical predictions are by and large testable via the present experimental facilities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_14825 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Symmetry- and energy-resolved entanglement dynamics in a disordered Bose-Hubbard model Chen, Jie Chen, Chun Wang, Xiaoqun Disordered Systems and Neural Networks Strongly Correlated Electrons Using numerical quantum quenches with the integration of both symmetry and energy resolutions, we comprehensively study the dynamics of symmetry-resolved entanglement in a disordered Bose-Hubbard (dBH) model, concentrating on the two types of inhomogeneous initial states to target the lower- and higher-energy sections of its dynamical phase diagram. (i) Motivated by the recent experiment [A. Lukin et al., Science 364, 256 (2019)] which focused on the lower-energy dynamic behaviors of the dBH chain, we first show that, at low energies, for a thermalizing state, although the second law of thermodynamics prohibits the decrease of the total entropy over time, for part of the channel-resolved entropies, a long-term entropic reduction may arise at weak disorder. (ii) A companion channel-resolved analysis at strong disorder further hints that the priorly observed double-log growth of the number entropy might not directly indicate the breakdown of MBL in spin or fermion chains, providing a refreshing perspective on this major controversy in the community. (iii) From time-evolving the line-shape low-energy product state, we subsequently reveal an abrupt formation of a novel "entropy imbalance pattern" across the different symmetry channels. Intriguingly, this imbalance melts in the strong-disorder limit. We conjecture that the melting of the entropic pattern, together with the freezing of a concurrent particle-density wave, embodies a dual trait inherent to MBL. (iv) Specifically, we find a cluster MBL regime, unique to the Bose statistics, emerging from the higher-energy section. This cluster MBL regime realizable even at weak disorder appears not suffer from the finite-size drift and is distinguished by its absence of the hallmark of MBL - the unbounded growth of the entanglement entropy. Our theoretical predictions are by and large testable via the present experimental facilities. |
| title | Symmetry- and energy-resolved entanglement dynamics in a disordered Bose-Hubbard model |
| topic | Disordered Systems and Neural Networks Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2303.14825 |