Fractionalized holes in one-dimensional ${\mathbb{Z}}_2$ gauge theory coupled to fermion matter -- deconfined dynamics and emergent integrability

Abstract

We investigate the interplay of quantum one-dimensional discrete ${\mathbb{Z}}_2$ gauge fields and fermion matter near full filling in terms of deconfined fractionalized hole excitations that constitute mobile domain walls between vacua that break spontaneously translation symmetry. In the limit of strong string tension, we uncover emergent integrable correlated hopping dynamics of holes which is complementary to the constrained XXZ description in terms of bosonic dimers. We analyze numerically quantum dynamics of spreading of an isolated hole together with the associated time evolution of entanglement and provide analytical understanding of its salient features. We also study the model enriched with a short-range interaction and clarify the nature of the resulting ground state at low filling of holes and identify deconfined hole excitations near the hole filling ${\nu }^h=1/3$.

arXiv comment6 figures in the main text, 2 figures in appendices. v2: discussion of entanglement added. v3: discussion on translational symmetry-breaking added

References in corpus (45)

• Localization of interacting fermions at high temperature
• Generalized Global Symmetries
• The distribution of the ratio of consecutive level spacings in random matrix ensembles
• Schrieffer-Wolff transformation for quantum many-body systems
• QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
• Floquet approach to ${\mathbb{Z}}_2$ lattice gauge theories with ultracold atoms in optical lattices
• Real time confinement following a quantum quench to a non-integrable model
• QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems. Part II: bosons, fermions and higher spins
• Realization of density-dependent Peierls phases to engineer quantized gauge fields coupled to ultracold matter
• Hilbert-Space Fragmentation from Strict Confinement
• Quantum Many-Body Scar States with Emergent Kinetic Constraints and Finite-Entanglement Revivals
• Nonthermal states arising from confinement in one and two dimensions
• Confined Quasiparticle Dynamics in Long-Range Interacting Quantum Spin Chains
• Real Time Dynamics and Confinement in the ${\mathbb{Z}}_n$ Schwinger-Weyl lattice model for 1+1 QED
• Emergent (anomalous) higher symmetries from topological orders and from dynamical electromagnetic field in condensed matter systems
• Signatures of rare states and thermalization in a theory with confinement
• Quasilocalized dynamics from confinement of quantum excitations
• Lattice fermion models with supersymmetry
• Confinement and lack of thermalization after quenches in the bosonic Schwinger model
• False vacuum decay in quantum spin chains
• Confined phases of one-dimensional spinless fermions coupled to $Z_2$ gauge theory
• Reliability of lattice gauge theories
• The Folded Spin-1/2 XXZ Model: I. Diagonalisation, Jamming, and Ground State Properties
• Suppression of transport in non-disordered quantum spin chains due to confined excitations
• Real-time dynamics of string breaking in quantum spin chains
• Confinement and Entanglement Dynamics on a Digital Quantum Computer
• Entanglement generation in $(1+1)D$ QED scattering processes
• Collisions of false-vacuum bubble walls in a quantum spin chain
• Scattering of mesons in quantum simulators
• Entanglement entropy and multifractality at localization transitions
• The Folded Spin-1/2 XXZ Model: II. Thermodynamics and Hydrodynamics with a Minimal Set of Charges
• Fragmentation and emergent integrable transport in the weakly tilted Ising chain
• Fractons from confinement in one dimension
• Confinement and Mott transitions of dynamical charges in 1D lattice gauge theories
• Enhancing disorder-free localization through dynamically emergent local symmetries
• Bloch oscillations and the lack of the decay of the false vacuum in a one-dimensional quantum spin chain
• Entanglement dynamics in confining spin chains
• Robust topological order in fermionic ${\mathbb{Z}}_2$ gauge theories: from Aharonov-Bohm instability to soliton-induced deconfinement
• Quantum phases of two-dimensional ${\mathbb{Z}}_2$ gauge theory coupled to single-component fermion matter
• Majorana Spin Liquids on a two-leg ladder
• Emergence of Gauss' Law in a $Z_2$ Lattice Gauge Theory
• Fractons from a liquid of singlet pairs
• Quantum Simulation of Lattice Gauge Theories on Superconducting Circuits: Quantum Phase Transition and Quench Dynamics
• Integrability, Non-integrability and confinement
• Spinless fermions in a ${\mathbb{Z}}_2$ gauge theory on the triangular ladder

Cited by in corpus (3)

• Synthetic ${\mathbb{Z}}_2$ gauge theories based on parametric excitations of trapped ions
• Dynamical deconfinement transition driven by density of excitations
• Emergent dipole field theory in atomic ladders