Global quench dynamics and the growth of entanglement entropy in disordered spin chains with tunable range interactions
The nonequilibrium dynamics of disordered many-body quantum systems after a quantum quench unveils important insights about the competition between interactions and disorder, yielding, in particular, an interesting perspective toward the understanding of many-body localization. Still, the experiment...
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| Main Authors: | , , , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
18 October 2023
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| In: |
Physical review
Year: 2023, Volume: 108, Issue: 14, Pages: 1-5 |
| ISSN: | 2469-9969 |
| DOI: | 10.1103/PhysRevB.108.L140203 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevB.108.L140203 Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevB.108.L140203 
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| Author Notes: | Y. Mohdeb, J. Vahedi, R.N. Bhatt, S. Haas, and S. Kettemann |
| Summary: | The nonequilibrium dynamics of disordered many-body quantum systems after a quantum quench unveils important insights about the competition between interactions and disorder, yielding, in particular, an interesting perspective toward the understanding of many-body localization. Still, the experimentally relevant effect of bond randomness in long-range interacting spin chains on their dynamical properties have so far not been investigated. In this Letter, we examine the entanglement entropy growth after a global quench in a quantum spin chain with randomly placed spins and long-range tunable interactions decaying with distance with power 𝛼. Using a dynamical version of the strong disorder renormalization group we find for 𝛼>𝛼𝑐 that the entanglement entropy grows logarithmically with time and becomes smaller with larger 𝛼 as 𝑆(𝑡)=𝑆𝑝ln(𝑡)/(2𝛼). Here, 𝑆𝑝=2ln2−1. We present results of numerical exact diagonalization calculations for system sizes up to 𝑁∼16 spins, in good agreement with the analytical results for sufficiently large 𝛼>𝛼𝑐≈1.8. For 𝛼<𝛼𝑐, we find that the entanglement entropy grows as a power law with time, 𝑆(𝑡)∼𝑡𝛾(𝛼) with 0<𝛾(𝛼)<1 a decaying function of the interaction exponent 𝛼. |
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| Item Description: | Gesehen am 21.06.2024 |
| Physical Description: | Online Resource |
| ISSN: | 2469-9969 |
| DOI: | 10.1103/PhysRevB.108.L140203 |