Engineering entanglement Hamiltonians with strongly interacting cold atoms in optical traps
arXiv:2007.05241 · doi:10.1103/PhysRevResearch.3.013112
Abstract
We present a proposal for the realization of entanglement Hamiltonians in one-dimensional critical spin systems with strongly interacting cold atoms. Our approach is based on the notion that the entanglement spectrum of such systems can be realized with a physical Hamiltonian containing a set of position-dependent couplings. We focus on reproducing the universal ratios of the entanglement spectrum for systems in two different geometries: a harmonic trap, which corresponds to a partition embedded in an infinite system, and a linear potential, which reproduces the properties of a half-partition with open boundary conditions. Our results demonstrate the possibility of measuring the entanglement spectra of the Heisenberg and XX models in a realistic cold-atom experimental setting by simply using gravity and standard trapping techniques.
arXiv comment11 pages, 6 figures
References in corpus (67)
- Quantum entanglement
- Feshbach Resonances in Ultracold Gases
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
- Entanglement entropy and conformal field theory
- Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
- Towards a derivation of holographic entanglement entropy
- Entanglement spectrum of a topological phase in one dimension
- Measuring entanglement entropy through the interference of quantum many-body twins
- Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
- Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
- Probing entanglement entropy via randomized measurements
- Realization of an Excited, Strongly-Correlated Quantum Gas Phase
- Spin-Imbalance in a One-Dimensional Fermi Gas
- A one-dimensional liquid of fermions with tunable spin
- General Relationship Between the Entanglement Spectrum and the Edge State Spectrum of Topological Quantum States
- Measuring entanglement growth in quench dynamics of bosons in an optical lattice
- Entanglement spectrum in one-dimensional systems
- Confinement induced molecules in a 1D Fermi gas
- Entanglement spectrum of topological insulators and superconductors
- Measuring multipartite entanglement via dynamic susceptibilities
- Fermionization of two distinguishable fermions
- Rényi Entropies from Random Quenches in Atomic Hubbard and Spin Models
- Entanglement hamiltonians in two-dimensional conformal field theory
- Pinning quantum phase transition for a Luttinger liquid of strongly interacting bosons
- Measuring entanglement entropy of a generic many-body system with a quantum switch
- Conformal Field Theory for Inhomogeneous One-dimensional Quantum Systems: the Example of Non-Interacting Fermi Gases
- Revealing Hidden Antiferromagnetic Correlations in Doped Hubbard Chains via String Correlators
- Antiferromagnetic Heisenberg Spin Chain of a Few Cold Atoms in a One-Dimensional Trap
- Strongly interacting confined quantum systems in one dimension
- The entanglement gap and a new principle of adiabatic continuity
- Bragg spectroscopy of a strongly interacting Fermi gas
- Quantum magnetism without lattices in strongly interacting one-dimensional spinor gases
- Entanglement Spectrum, Critical Exponents and Order Parameters in Quantum Spin Chains
- Dynamical structure factor of one-dimensional Bose gases: experimental signatures of beyond-Luttinger liquid physics
- Quantum Simulation and Spectroscopy of Entanglement Hamiltonians
- Exact Solution of Strongly Interacting Quasi-One-Dimensional Spinor Bose Gases
- Spatially Resolved Detection of a Spin-Entanglement Wave in a Bose-Hubbard Chain
- Measurement Protocol for the Entanglement Spectrum of Cold Atoms
- How universal is the entanglement spectrum?
- Entanglement hamiltonian and entanglement contour in inhomogeneous 1D critical systems
- Measuring entanglement using quantum quenches
- Unitary -designs via random quenches in atomic Hubbard and Spin models: Application to the measurement of Rényi entropies
- Multipartite entanglement detection in bosons
- Strong-coupling ansatz for the one-dimensional Fermi gas in a harmonic potential
- Spin-charge separation in two-component Bose-gases
- Engineering the Dynamics of Effective Spin-Chain Models for Strongly Interacting Atomic Gases
- Strongly Interacting Quantum Gases in One-Dimensional Traps
- Entanglement Hamiltonians of lattice models via the Bisognano-Wichmann theorem
- Effective spin-chain model for strongly interacting one-dimensional atomic gases with an arbitrary spin
- Magnetism in strongly interacting one-dimensional quantum mixtures
- Momentum distributions and numerical methods for strongly interacting one-dimensional spinor gases
- Entanglement Hamiltonian of quantum critical chains and conformal field theories
- Finite Temperature Dynamical Structure Factor of the Heisenberg-Ising Chain
- Entanglement and relative entropies for low-lying excited states in inhomogeneous one-dimensional quantum systems
- Dynamical properties of the random Heisenberg chain
- SU(N) Fermions in a One-Dimensional Harmonic Trap
- Entanglement and corner Hamiltonian spectra of integrable open spin chains
- CONAN -- the cruncher of local exchange coefficients for strongly interacting confined systems in one dimension
- Bose-Fermi Mapping and Multi-Branch Spin Chain Model for Strongly Interacting Quantum Gases in One-Dimension: Dynamics and Collective Excitations
- Measuring von Neumann entanglement entropies without wave functions
- Entangled states of dipolar bosons generated in a triple-well potential
- Information measures for a local quantum phase transition: Lattice fermions in a one-dimensional harmonic trap
- Dynamics of spin and density fluctuations in strongly interacting few-body systems
- Entanglement structure of a quantum simulator: the two-component Bose-Hubbard model
- Spectrum estimation of density operators with alkaline-earth atoms
- Information measures for a local quantum phase transition: Lattice bosons in a one-dimensional harmonic trap
Cited by in corpus (6)
- Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
- Entanglement Hamiltonians: from field theory, to lattice models and experiments
- Statistically Characterising Robustness and Fidelity of Quantum Controls and Quantum Control Algorithms
- Bulk-edge correspondence of Stiefel-Whitney and Euler insulators through the entanglement spectrum and cutting procedure
- Bulk-entanglement spectrum correspondence in - and -symmetric topological insulators and superconductors
- Local fermion density in inhomogeneous free-fermion chains: a discrete WKB approach