Flat Band Quantum Scar
arXiv:2010.02044 · doi:10.1103/PhysRevB.102.241115
Abstract
We show that a quantum scar state, an atypical eigenstate breaking eigenstate thermalization hypothesis embedded in a many-body energy spectrum, can be constructed in flat band systems. The key idea of our construction is to make use of orthogonal compact localized states. We concretely discuss our construction scheme, taking a saw-tooth flat lattice system as an example, and numerically demonstrate the presence of a quantum scar state. Examples of higher-dimensional systems are also addressed. Our construction method of quantum scar has broad applications to various flat band systems.
arXiv comment5+2 pages, 3+4 figures
References in corpus (54)
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- Probing many-body dynamics on a 51-atom quantum simulator
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- 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
- Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
- Quantum many-body scars
- Spin Anisotropy and Quantum Hall Effect in the Kagome Lattice - Chiral Spin State based on a Ferromagnet-
- Flat bands and Wigner crystallization in the honeycomb optical lattice
- Experimental realization of a symmetry protected topological phase of interacting bosons with Rydberg atoms
- Artificial flat band systems: from lattice models to experiments
- Quantum scarred eigenstates in a Rydberg atom chain: entanglement, breakdown of thermalization, and stability to perturbations
- QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
- From Nagaoka's ferromagnetism to flat-band ferromagnetism and beyond: An introduction to ferromagnetism in the Hubbard model
- Band touching from real space topology in frustrated hopping models
- Onset of quantum chaos in one-dimensional bosonic and fermionic systems and its relation to thermalization
- 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
- Macroscopic magnetization jumps due to independent magnons in frustrated quantum spin lattices
- Periodic orbits, entanglement and quantum many-body scars in constrained models: matrix product state approach
- QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems. Part II: bosons, fermions and higher spins
- Systematic Construction of Counterexamples to the Eigenstate Thermalization Hypothesis
- Exact Quantum Many-Body Scar States in the Rydberg-Blockaded Atom Chain
- Weak Ergodicity Breaking and Quantum Many-Body Scars in Spin-1 XY Magnets
- Exact Excited States of Non-Integrable Models
- Signatures of integrability in the dynamics of Rydberg-blockaded chains
- Bose condensation in flat bands
- Classification of flat bands according to the band-crossing singularity of Bloch wave functions
- Onsager's Scars in Disordered Spin Chains
- Eta-Pairing in Hubbard Models: From Spectrum Generating Algebras to Quantum Many-Body Scars
- Exact low-temperature behavior of kagome antiferromagnet at high fields
- Eta-pairing states as true scars in an extended Hubbard Model
- Two-dimensional band structure in honeycomb metal-organic frameworks
- Disorder-Free Localization and Many-Body Quantum Scars from Magnetic Frustration
- Universal low-temperature behavior of frustrated quantum antiferromagnets in the vicinity of the saturation field
- The isolated Heisenberg magnet as a quantum time crystal
- Exact three-colored quantum scars from geometric frustration
- Topological many-body scar states in dimensions 1, 2, and 3
- Quantum many-body scars from virtual entangled pairs
- First-Principles Design of a Half-Filled Flat Band of the Kagome Lattice in Two-Dimensional Metal-Organic Frameworks
- Entanglement of Exact Excited Eigenstates of the Hubbard Model in Arbitrary Dimension
- Topological Invariants for Polyacetylene, Kagome and Pyrochlore lattices
- Disordered flat bands on the kagome lattice
- Stabilizing two-dimensional quantum scars by deformation and synchronization
- One-dimensional sawtooth and zigzag lattices for ultracold atoms
- Fragile topological phases in interacting systems
- Quantum many-body scars in transverse field Ising ladders and beyond
- From compact localized states to many-body scars in the random quantum comb
- Quantum many-body scars with chiral topological order in 2D and critical properties in 1D
- Molecular-orbital representation of generic flat-band models
- Flat bands and higher-order topology in polymerized triptycene: Tight-binding analysis on decorated star lattices
- Weak-ergodicity-breaking via lattice supersymmetry
- Flat-band physics in the spin-1/2 sawtooth chain
- Methods for the construction of interacting many-body Hamiltonians with compact localized states in geometrically frustrated clusters
Cited by in corpus (71)
- Quantum Many-Body Scars and Weak Breaking of Ergodicity
- Quantum Many-Body Scars: A Quasiparticle Perspective
- Quantum scars from zero modes in an Abelian lattice gauge theory on ladders
- Many-body Hilbert space scarring on a superconducting processor
- Algebraic Theory of Quantum Synchronization and Limit Cycles under Dissipation
- A proposal for realising quantum scars in the tilted 1D Fermi-Hubbard model
- Group theoretic approach to many-body scar states in fermionic lattice models
- Anomalous hydrodynamics in a class of scarred frustration-free Hamiltonians
- Rainbow Scars: From Area to Volume Law
- Robust quantum sensing in strongly interacting systems with many-body scars
- Frustration-induced emergent Hilbert space fragmentation
- Driving quantum many-body scars in the PXP model
- Quantum Caging in Interacting Many-Body All-Bands-Flat Lattices
- General construction of flat bands with and without band crossings based on wave function singularity
- Deformed Symmetry Structures and Quantum Many-body Scar Subspaces
- Thermodynamics of the spin-half square-kagome lattice antiferromagnet
- Multiple quantum scar states and emergent slow-thermalization in the flat-band system
- Flat band, spin-1 Dirac cone, and Hofstadter diagram in the fermionic square kagome model
- Out-of-Time-Ordered Crystals and Fragmentation
- Quantum scars and bulk coherence in a symmetry-protected topological phase
- Flat bands with band crossings enforced by symmetry representation
- Essential model parameters for nonreciprocal magnons in multisublattice systems
- Compactly Supported Wannier Functions and Strictly Local Projectors
- Quantum many-body scars of spinless fermions with density-assisted hopping in higher dimensions
- Electric field driven flat bands: Enhanced magnetoelectric and electrocaloric effects in frustrated quantum magnets
- Magnetism of the - square-kagome lattice antiferromagnet
- Dynamical localization and slow thermalization in a class of disorder-free periodically driven one-dimensional interacting systems
- Many-body localization transition from flatband fine-tuning
- Proposal for simulating quantum spin models with the Dzyaloshinskii-Moriya interaction using Rydberg atoms and the construction of asymptotic quantum many-body scar states
- Topological inverse Anderson insulator
- Revisiting Flat bands and localization
- Tuning between continuous time crystals and many-body scars in long-range XYZ spin chains
- Quantum many-body scars from unstable periodic orbits
- Anti- flatbands
- Local Hilbert space fragmentation and weak thermalization in Bose-Hubbard diamond necklaces
- Symmetry-protected Topological Phases in Spinful Bosons with a Flat Band
- Stability of scar states in 2D PXP model against random disorders
- Multiple flat bands and localized states in photonic super-Kagome lattices
- Classical ground states of spin lattices
- Quantum many-body scars with unconventional superconducting pairing symmetries via multibody interactions
- Flat Bands and Compact Localised States: A Carrollian roadmap
- Critical States Generators from Perturbed Flatbands
- Molecular-orbital representation with random U(1) variables
- Exact many-body scars based on pairs or multimers in a chain of spinless fermions
- Non-ergodic one-magnon magnetization dynamics of the antiferromagnetic delta chain
- Exactly solvable subspaces of non-integrable spin chains with boundaries and quasiparticle interactions
- Mott Insulator-like Bose-Einstein Condensation in a Tight-Binding System of Interacting Bosons with a Flat Band
- Construction of interacting flat-band models by molecular-orbital representation: Correlation functions, energy gap, and entanglement
- Compact Wannier Functions in One Dimension
- Effects of Peierls phases in open linear chains
- High Chern numbers and topological flat bands in high-field polarized Kitaev magnets on the star lattice
- Stable dynamic helix state in the nonintegrable XXZ Heisenberg model
- Permanent oscillations and solitary wave behavior in flatband Heisenberg quantum spin systems
- Trapping Hard-Core Bosons in Flatband Lattices
- Quantum many-body scars in the Bose-Hubbard model with a three-body constraint
- Fate of localization features in a one-dimensional non-Hermitian flat-band lattice with quasiperiodic modulations
- Weak ergodicity breaking with isolated integrable sectors
- Flat-band full localization and symmetry-protected topological phase on bilayer lattice systems
- Quantum Scar States in Coupled Random Graph Models
- Systematic construction of asymptotic quantum many-body scar states and their relation to supersymmetric quantum mechanics
- Fragmentation, Zero Modes, and Collective Bound States in Constrained Models
- Information Dynamics in a Model with Hilbert Space Fragmentation
- Flat bands in tight-binding lattices with anisotropic potentials
- Real space thermalization of locally driven quantum magnets
- The magnetization process of classical Heisenberg magnets with non-coplanar cuboc ground states
- Symmetry-Based Real-Space Framework for Realizing Flat Bands and Unveiling Nodal-Line Touchings
- Compact localized currents in flat bands with broken time-reversal symmetry
- Machine Learning Study on the Flat-Band States Constructed by Molecular-Orbital Representation with Randomness
- Heat percolation in many-body flatband localizing systems
- Benchmarking Quantum Simulators
- Dynamics of Interacting Bosons on the Sawtooth Lattice with a Flat Band