Localized Fock Space Cages in Kinetically Constrained Models
arXiv:2504.20987 · doi:10.1103/wz33-vczt
Abstract
We investigate a mechanism for non-ergodic behavior in many-body quantum systems arising from destructive interference, leading to localization in Fock space. Drawing parallels with single-particle flat-band localization and Aharonov-Bohm cages, we identify conditions under which similar interference effects in the many-body domain produce Fock space cages (FSCs)-highly localized many-body eigenstates. By interpreting Fock space as a graph where nodes represent bitstring basis states and edges denote non-zero transition amplitudes of the Hamiltonian, we analyze different kinetically constrained models. The FSCs cause non-ergodic dynamics when the system is initialized within their support, highlighting a universal interference-driven localization mechanism in many-body systems.
7 pages, 7 figures
References in corpus (35)
- Thermalization and its mechanism for generic isolated quantum systems
- Probing many-body dynamics on a 51-atom quantum simulator
- Many body localization and thermalization in quantum statistical mechanics
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
- Localization of interacting fermions at high temperature
- Observation of many-body localization of interacting fermions in a quasi-random optical lattice
- Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
- The distribution of the ratio of consecutive level spacings in random matrix ensembles
- Quantum many-body scars
- Phenomenology of fully many-body-localized systems
- A phenomenology of certain many-body-localized systems
- Local conservation laws and the structure of the many-body localized states
- Quench dynamics and relaxation in isolated integrable quantum spin chains
- Artificial flat band systems: from lattice models to experiments
- Universal dynamics and renormalization in many body localized systems
- Localization from Hilbert space shattering: from theory to physical realizations
- Local constraints can globally shatter Hilbert space: a new route to quantum information protection
- Quantum scarred eigenstates in a Rydberg atom chain: entanglement, breakdown of thermalization, and stability to perturbations
- Topological flat bands in frustrated kagome lattice CoSn
- Ergodicity-breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians
- Testing whether all eigenstates obey the Eigenstate Thermalization Hypothesis
- Controlling many-body dynamics with driven quantum scars in Rydberg atom arrays
- First-order dynamical phase transition in models of glasses: an approach based on ensembles of histories
- Emergent SU(2) dynamics and perfect quantum many-body scars
- Entanglement of Exact Excited States of AKLT Models: Exact Results, Many-Body Scars and the Violation of Strong ETH
- Weak Ergodicity Breaking and Quantum Many-Body Scars in Spin-1 XY Magnets
- Exact Excited States of Non-Integrable Models
- Quantum Many-Body Scars: A Quasiparticle Perspective
- Quantum East model: localization, non-thermal eigenstates and slow dynamics
- Many-Body Spectral Reflection Symmetry and Protected Infinite-Temperature Degeneracy
- Anomalous transport in the kinetically constrained quantum East-West model
- Localized Fock Space Cages in Kinetically Constrained Models
- Fragmentation, Zero Modes, and Collective Bound States in Constrained Models
- Graph theory and tunable slow dynamics in quantum East Hamiltonians