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http://hdl.handle.net/2289/7604
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DC Field | Value | Language |
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dc.contributor.author | Roy, Dibyendu | - |
dc.contributor.author | Prosen, Tomaž | - |
dc.date.accessioned | 2020-12-30T08:39:48Z | - |
dc.date.available | 2020-12-30T08:39:48Z | - |
dc.date.issued | 2020-12 | - |
dc.identifier.citation | Physical Review E, 2020, Vol.102, Article No.060202(R) | en_US |
dc.identifier.uri | http://hdl.handle.net/2289/7604 | - |
dc.description | Open Access | en_US |
dc.description.abstract | We study quantum chaos and spectral correlations in periodically driven (Floquet) fermionic chains with long-range two-particle interactions, in the presence and absence of particle number conservation ( U(1) ) symmetry. We analytically show that the spectral form factor precisely follows the prediction of random matrix theory in the regime of long chains, and for timescales that exceed the so-called Thouless/Ehrenfest time which scales with the size L as O(L2) , or O(L0) , in the presence, or absence of U(1) symmetry, respectively. Using random phase assumption which essentially requires long-range nature of interaction, we demonstrate that the Thouless time scaling is equivalent to the behavior of the spectral gap of a classical Markov chain, which is in the continuous-time (Trotter) limit generated, respectively, by a gapless XXX , or gapped XXZ , spin-1/2 chain Hamiltonian. | en_US |
dc.language.iso | en | en_US |
dc.publisher | American Physical Society | en_US |
dc.relation.uri | https://ui.adsabs.harvard.edu/abs/2020arXiv200510489R/abstract | en_US |
dc.relation.uri | https://arxiv.org/abs/2005.10489 | en_US |
dc.relation.uri | https://doi.org/10.1103/PhysRevE.102.060202 | en_US |
dc.rights | 2020 American Physical Society | en_US |
dc.title | Random matrix spectral form factor in kicked interacting fermionic chains | en_US |
dc.type | Article | en_US |
dc.additional | Supplementary Information Avaliable | en_US |
Appears in Collections: | Research Papers (TP) |
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2020_Phys Rev E_Vol.102_Article No.060202.pdf Restricted Access | Open Access | 415.63 kB | Adobe PDF | View/Open Request a copy |
2020_Phys Rev E_Vol.102_Article No.060202_Supply Info.pdf Restricted Access | Open Access | 604.84 kB | Adobe PDF | View/Open Request a copy |
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