Signatures of fragmentation for periodically driven fermions

• URL: http://arxiv.org/abs/2404.04328v1
• Date: Fri, 5 Apr 2024 18:00:13 GMT
• Title: Signatures of fragmentation for periodically driven fermions
• Authors: Somsubhra Ghosh, Indranil Paul, K. Sengupta,
• Abstract summary: We study the possible fragmentation signatures of prethermal strong Hilbert space (HSF) for one-dimensional (1D) fermions subjected to a periodic drive. We demonstrate the persistence of HSF when the fermion chain is taken away from half-filling. We also provide an alternate of the Floquet Hamiltonian of the driven chain which yields insight into the generic nested commutator structure of its higher order terms.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study the possible signatures of prethermal strong Hilbert space fragmentation (HSF) for one-dimensional (1D) fermions subjected to a periodic drive. We extend the results of Phys. Rev. Lett. 130, 120401 (2023) to show the possibility of such fragmentation for a large class of experimentally relevant drive protocols. Moreover, we demonstrate the persistence of HSF when the fermion chain is taken away from half-filling. Both these analysis indicate the robustness of the fragmentation phenomenon reported earlier. We also provide an alternate derivation of the Floquet Hamiltonian of the driven chain which yields insight into the generic nested commutator structure of its higher order terms. Finally, we study the density-density out-of-time-correlators (OTOC) of the driven chain both away and near the special drive frequencies at which its first order Floquet Hamiltonian exhibits fragmentation. We show that these OTOCs, for a chain with open boundary condition, exhibit a distinct periodic unscrambling of information at special drive frequencies; such unscrambling can therefore serve as a marker of prethermal HSF. We provide an approximate analytic explanation of the role of HSF behind such periodic unscrambling and discuss experiments which can detect signatures of strong HSF in such driven chains.

Related papers

• Floquet Engineering of Hilbert Space Fragmentation in Stark Lattices [3.938836199747998]
  The concept of Hilbert space fragmentation (HSF) has recently been put forward as a routine to break quantum ergodicity. We propose a scheme to tune the HSF in a one-dimensional tilted lattice of interacting spinless fermions with periodically driven tunneling.
  arXiv  Detail & Related papers  (2023-11-20T13:58:18Z)
• Measurement phase transitions in the no-click limit as quantum phase transitions of a non-hermitean vacuum [77.34726150561087]
  We study phase transitions occurring in the stationary state of the dynamics of integrable many-body non-Hermitian Hamiltonians. We observe that the entanglement phase transitions occurring in the stationary state have the same nature as that occurring in the vacuum of the non-hermitian Hamiltonian.
  arXiv  Detail & Related papers  (2023-01-18T09:26:02Z)
• Prethermal fragmentation in a periodically driven Fermionic chain [0.0]
  We study a Fermionic chain with nearest-neighbor hopping and density-density interactions, where the nearest-neighbor interaction term is driven periodically. We show that such a driven chain exhibits prethermal strong Hilbert space fragmentation (HSF) in the high drive amplitude regime at specific drive frequencies.
  arXiv  Detail & Related papers  (2022-12-07T19:00:04Z)
• Emergent conservation in Floquet dynamics of integrable non-Hermitian models [0.0]
  We study the dynamics of a class of integrable non-Hermitian free-fermionic models driven periodically using a continuous drive protocol. Our analysis indicates the existence of special drive frequencies at which an approximately conserved quantity emerges.
  arXiv  Detail & Related papers  (2022-09-26T18:21:08Z)
• Genuine Multipartite Correlations in a Boundary Time Crystal [56.967919268256786]
  We study genuine multipartite correlations (GMC's) in a boundary time crystal (BTC) We analyze both (i) the structure (orders) of GMC's among the subsystems, as well as (ii) their build-up dynamics for an initially uncorrelated state.
  arXiv  Detail & Related papers  (2021-12-21T20:25:02Z)
• Observation of Time-Crystalline Eigenstate Order on a Quantum Processor [80.17270167652622]
  Quantum-body systems display rich phase structure in their low-temperature equilibrium states. We experimentally observe an eigenstate-ordered DTC on superconducting qubits. Results establish a scalable approach to study non-equilibrium phases of matter on current quantum processors.
  arXiv  Detail & Related papers  (2021-07-28T18:00:03Z)
• High-frequency expansions for time-periodic Lindblad generators [68.8204255655161]
  Floquet engineering of isolated systems is often based on the concept of the effective time-independent Floquet Hamiltonian. We show that the emerging non-Markovianity of the Floquet generator can entirely be attributed to the micromotion of the open driven system.
  arXiv  Detail & Related papers  (2021-07-21T12:48:39Z)
• Mobility edge and multifractality in a periodically driven Aubry-Andr\'{e} model [0.0]
  We study the localization-delocalization transition of Floquet eigenstates in a driven fermionic chain with an incommensurate Aubry-Andr'e potential. Our analysis shows the presence of a mobility edge separating single-particle delocalized states from localized and multifractal states in the Floquet spectrum.
  arXiv  Detail & Related papers  (2021-02-23T19:00:10Z)
• Universal Statistics of Vortices in a Newborn Holographic Superconductor: Beyond the Kibble-Zurek Mechanism [52.77024349608834]
  We investigate universal signatures beyond the celebrated Kibble-Zurek mechanism (KZM) We characterize the distribution of vortices generated in a thermal quench leading to the formation of a holographic superconductor.
  arXiv  Detail & Related papers  (2021-01-06T18:06:40Z)
• Probing eigenstate thermalization in quantum simulators via fluctuation-dissipation relations [77.34726150561087]
  The eigenstate thermalization hypothesis (ETH) offers a universal mechanism for the approach to equilibrium of closed quantum many-body systems. Here, we propose a theory-independent route to probe the full ETH in quantum simulators by observing the emergence of fluctuation-dissipation relations. Our work presents a theory-independent way to characterize thermalization in quantum simulators and paves the way to quantum simulate condensed matter pump-probe experiments.
  arXiv  Detail & Related papers  (2020-07-20T18:00:02Z)
• Dynamics of the vacuum state in a periodically driven Rydberg chain [0.0]
  We study the dynamics of the periodically driven Rydberg chain starting from the state with zero Rydberg excitations. We show that the Floquet Hamiltonian of the system, within a range of drive frequencies, hosts a set of quantum scars.
  arXiv  Detail & Related papers  (2020-05-15T18:00:03Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.