Localised Dynamics in the Floquet Quantum East Model
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866914690811035648 |
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| author | Bertini, Bruno Kos, Pavel Prosen, Tomaz |
| author_facet | Bertini, Bruno Kos, Pavel Prosen, Tomaz |
| contents | We introduce and study the discrete-time version of the Quantum East model, an interacting quantum spin chain inspired by simple kinetically constrained models of classical glasses. Previous work has established that its continuous-time counterpart displays a disorder-free localisation transition signalled by the appearance of an exponentially large (in the volume) family of non-thermal, localised eigenstates. Here we combine analytical and numerical approaches to show that: i) The transition persists for discrete times, in fact, it is present for any finite value of the time step apart from a zero measure set; ii) It is directly detected by following the non-equilibrium dynamics of the fully polarised state. Our findings imply that the transition is currently observable in state-of-the-art platforms for digital quantum simulation. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2306_12467 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Localised Dynamics in the Floquet Quantum East Model Bertini, Bruno Kos, Pavel Prosen, Tomaz Statistical Mechanics Quantum Physics We introduce and study the discrete-time version of the Quantum East model, an interacting quantum spin chain inspired by simple kinetically constrained models of classical glasses. Previous work has established that its continuous-time counterpart displays a disorder-free localisation transition signalled by the appearance of an exponentially large (in the volume) family of non-thermal, localised eigenstates. Here we combine analytical and numerical approaches to show that: i) The transition persists for discrete times, in fact, it is present for any finite value of the time step apart from a zero measure set; ii) It is directly detected by following the non-equilibrium dynamics of the fully polarised state. Our findings imply that the transition is currently observable in state-of-the-art platforms for digital quantum simulation. |
| title | Localised Dynamics in the Floquet Quantum East Model |
| topic | Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2306.12467 |