Entanglement and edge effects in superpositions of many-body Fock states with spatial constraints
arXiv:1707.07840 · doi:10.1140/epjb/e2020-100625-y
Abstract
We investigate how entangled states can be created by considering collections of point-particles arranged at different spatial configurations, i.e., Fock states with spatial constraints. This type of states can be realized in Hubbard chains of spinless hard-core bosons, at different fillings, which have gapped energy spectrum with a highly degenerate ground state. We calculate the bipartite entanglement entropy for superpositions of such Fock states and show that their entanglement can be controlled via the spatial freedom of the particles, determined by the system filling. In addition we study the effect of confinement/boundary conditions on the Fock states and show that edge modes appear at the ends of the system, when open boundary conditions are considered. Our result is an example of entangled many-body states in 1D systems of strongly interacting particles, without requiring the spin, long-range microscopic interactions or external fields. Instead, the entanglement can be tuned by the empty space in the system, which determines the spatial freedom of the interacting particles.
arXiv comment8 pages, 3 figures, published in EPJ B
References in corpus (34)
- Quantum entanglement
- Fault-tolerant quantum computation by anyons
- Unpaired Majorana fermions in quantum wires
- Entanglement in quantum critical phenomena
- Probing many-body dynamics on a 51-atom quantum simulator
- Topological entanglement entropy
- Detecting topological order in a ground state wave function
- Quantum Spin Liquids
- Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
- Entanglement spectrum of a topological phase in one dimension
- Measuring entanglement entropy through the interference of quantum many-body twins
- Classification of Gapped Symmetric Phases in 1D Spin Systems
- Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order
- Topological Quantum Matter with Ultracold Gases in Optical Lattices
- Topological Mott Insulators
- Spectral signatures of many-body localization with interacting photons
- Entanglement spectrum in one-dimensional systems
- Fractional Quantum Hall Effect of Hard-Core Bosons in Topological Flat Bands
- Bipartite entanglement and entropic boundary law in lattice spin systems
- Emulating many-body localization with a superconducting quantum processor
- Interaction effects and quantum phase transitions in topological insulators
- Observation of dynamical quantum phase transition by a superconducting qubit simulation
- Characterization of a topological Mott insulator in one dimension
- Logarithmic divergence of the block entanglement entropy for the ferromagnetic Heisenberg model
- Entanglement spectrum of the two dimensional Bose-Hubbard model
- Spectral and Entanglement Properties of the Bosonic Haldane Insulator
- Stripes and holes in a two-dimensional model of spinless fermions and hardcore bosons
- Long-range entanglement is necessary for a topological storage of quantum information
- Finite Size Scaling of Topological Entanglement Entropy
- Hard-core bosons in one-dimensional interacting topological bands
- Two supersolid phases in hard-core extended Bose-Hubbard model
- Quantum information analysis of quantum phase transitions in a one-dimensional V1-V2 hard-core-boson model
- Entropic topological invariant for a gapped one-dimensional system
- Anderson localization versus charge-density-wave formation in disordered electron systems