The entanglement entropy of one-dimensional gases

Abstract

We introduce a systematic framework to calculate the bipartite entanglement entropy of a spatial subsystem in a one-dimensional quantum gas which can be mapped into a noninteracting fermion system. To show the wide range of applicability of the proposed formalism, we use it for the calculation of the entanglement in the eigenstates of periodic systems, in a gas confined by boundaries or external potentials, in junctions of quantum wires and in a time-dependent parabolic potential.

4 pages, 2 figures. v2: Typos corrected

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Cited by in corpus (52)

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• Entanglement spectrum degeneracy and Cardy formula in 1+1 dimensional conformal field theories
• More on the rainbow chain: entanglement, space-time geometry and thermal states
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• Excited state entanglement in one dimensional quantum critical systems: Extensivity and the role of microscopic details
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• Equipartition of Entanglement in Quantum Hall States
• Free fermions on a line: asymptotics of the entanglement entropy and entanglement spectrum from full counting statistics
• Exact entanglement growth of a one-dimensional hard-core quantum gas during a free expansion
• Measuring entanglement entropy and its topological signature for phononic systems
• Entanglement evolution across defects in critical anisotropic Heisenberg chains
• Spectral order statistics of Gaussian random matrices: large deviations for trapped fermions and associated phase transitions
• Statistics of fermions in a $d$-dimensional box near a hard wall
• Rényi entropy and negativity for massless Dirac fermions at conformal interfaces and junctions
• Entanglement Entropy of the Low-Lying Excited States and Critical Properties of an Exactly Solvable Two-Leg Spin Ladder with Three-Spin Interactions
• Entanglement evolution after a global quench across a conformal defect
• Physical Entanglement Between Localized Orbitals
• Equilibrium and nonequilibrium entanglement properties of 2D and 3D Fermi gases
• Ergodic Edge Modes in the 4D Quantum Hall Effect
• Entanglement entropy in Fermi gases and Anderson's orthogonality catastrophe
• Universality in the number variance and counting statistics of the real and symplectic Ginibre ensemble
• Wigner function for noninteracting fermions in hard wall potentials
• Rényi entanglement entropies for the compactified massless boson with open boundary conditions
• Rényi entropy and negativity for massless complex boson at conformal interfaces and junctions
• Target space entanglement in quantum mechanics of fermions and matrices
• Logarithmic entanglement scaling in dissipative free-fermion systems
• Density-Matrix Renormalization Group for Continuous Quantum Systems
• The scaling of entanglement entropy in a honeycomb lattice on a torus
• Quench dynamics of noninteracting fermions with a delta impurity
• Entanglement in composite free-fermion systems
• Area-law entanglement from quantum geometry
• Detecting dimensional crossover and finite Hilbert space through entanglement entropies
• Entanglement Hamiltonian of a nonrelativistic Fermi gas
• Zero-mode entanglement across a conformal defect
• On the Bisognano-Wichmann entanglement Hamiltonian of nonrelativistic fermions
• Target space entanglement in a matrix model for the bubbling geometry
• Entanglement scaling and charge fluctuations in a Fermi liquid of composite fermions
• Quantum geometry and geometric entanglement entropy of one-dimensional Floquet topological matter
• Constrained non-crossing Brownian motions, fermions and the Ferrari-Spohn distribution
• Conductance of correlated many-fermion systems from charge fluctuations
• Universal entanglement signatures of quantum liquids as a guide to fermionic criticality
• Quadratic Hamiltonian approach to heat transport in fermionic systems
• Exact first-order effect of interactions on the ground-state energy of harmonically-confined fermions
• Entanglement entropies of an interval in the free Schrödinger field theory at finite density
• Fermionic Partial Transpose in the Overlap Matrix Framework for Entanglement Negativity
• Target space entanglement in quantum mechanics of fermions at finite temperature
• PhD thesis "Extreme value statistics of strongly correlated systems: fermions, random matrices and random walks"