Prethermal fragmentation in a periodically driven Fermionic chain

Abstract

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 ${\omega }_m^{\ast }$. This constitutes the first realization of HSF for out-of-equilibrium systems. We obtain analytic expressions of ${\omega }_m^{\ast }$ using a Floquet perturbation theory and provide exact numerical computation of entanglement entropy, equal-time correlation functions, and the density autocorrelation of Fermions for finite chains. All of these quantities indicate clear signatures of strong HSF. We study the fate of the HSF as one tunes away from ${\omega }_m^{\ast }$ and discuss the extent of the prethermal regime as a function of the drive amplitude.

v2: 3 figs, 4 pages + appendices. Refs added; minor changes

References in corpus (16)

• Many-Body Physics with Ultracold Gases
• Thermalization and its mechanism for generic isolated quantum systems
• Many body localization and thermalization in quantum statistical mechanics
• Foundation of Statistical Mechanics under experimentally realistic conditions
• Emergent SU(2) dynamics and perfect quantum many-body scars
• Entanglement Entropy of Eigenstates of Quantum Chaotic Hamiltonians
• Minimal model for Hilbert space fragmentation with local constraints
• Absence of dynamical localization in interacting driven systems
• Population dynamics in Floquet realisation of Harper-Hofstadter Hamiltonian
• Effects of interactions on periodically driven dynamically localized systems
• Scars from protected zero modes and beyond in $U(1)$ quantum link and quantum dimer models
• Driving quantum many-body scars in the PXP model
• (Quasi)Periodic revivals in periodically driven interacting quantum systems
• Periodically driven Rydberg chains with staggered detuning
• Hilbert space fragmentation and interaction-induced localization in the extended Fermi-Hubbard model
• Constructing quantum many-body scar Hamiltonians from Floquet automata

Cited by in corpus (17)

• Dynamical localization and slow thermalization in a class of disorder-free periodically driven one-dimensional interacting systems
• Emergent symmetries in prethermal phases of periodically driven quantum systems
• Dynamical Freezing in Exactly Solvable Models of Driven Chaotic Quantum Dots
• Subspace restricted thermalization in a correlated-hopping model with strong Hilbert space fragmentation characterized by irreducible strings
• Entanglement transitions in a periodically driven non-Hermitian Ising chain
• Hilbert space fragmentation imposed real spectrum of non-Hermitian systems
• Floquet Engineering of Hilbert Space Fragmentation in Stark Lattices
• Signatures of fragmentation for periodically driven fermions
• Arresting Quantum Chaos Dynamically in Transmon Arrays
• Non-equilibrium dynamics of bosons with dipole symmetry: Large-$N$ Keldysh approach
• Insights from the exact analytical solution of periodically driven transverse field Ising chain
• Fermionic transport through a driven quantum point contact: breakdown of Floquet thermalization beyond a critical driving frequency
• Diagnostics of Hilbert space fragmentation, freezing transition, and its effects in the family of quantum East models involving varying range of constraints
• Universal Freezing Transitions of Dipole-Conserving Chains
• Constrained motions and slow dynamics in one-dimensional bosons with double-well dispersion
• Quantum dynamics of a spin model with an extensive degeneracy
• Quantum Complexity in Rule-Based Constrained Many-Body Models: Scars, Fragmentation, and Chaos