Surface and bulk entanglement in free-fermion chains

Abstract

We consider free-fermion chains where full and empty parts are connected by a transition region with narrow surfaces. This can be caused by a linear potential or by time evolution from a step-like initial state. Entanglement spectra, entanglement entropies and fluctuations are determined for subsystems either in the surface region or extending into the bulk. In all cases there is logarithmic behaviour in the subsystem size, but the prefactors in the surface differ from those in the bulk by 3/2. A previous fluctuation result is corrected and a general scaling formula is inferred from the data.

14 pages, 6 figures, minor changes, references added

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• Entanglement spreading after a geometric quench in quantum spin chains
• Phase transitions and edge scaling of number variance in Gaussian random matrices
• Universal front propagation in the quantum Ising chain with domain-wall initial states
• Front dynamics and entanglement in the XXZ chain with a gradient
• Domain wall problem in the quantum XXZ chain and semiclassical behavior close to the isotropic point
• Number statistics for $\beta$-ensembles of random matrices: applications to trapped fermions at zero temperature
• Magnetization and entanglement after a geometric quench in the XXZ chain
• Entanglement entropies of inhomogeneous Luttinger liquids
• Free fermions at the edge of interacting systems
• Time evolution of entanglement negativity across a defect
• Front dynamics in the XY chain after local excitations
• Spectral order statistics of Gaussian random matrices: large deviations for trapped fermions and associated phase transitions
• Entanglement in composite free-fermion systems
• Splitting a critical spin chain
• Entanglement Hamiltonian of a nonrelativistic Fermi gas
• The Coprime Quantum Chain
• Entanglement of Free Fermions and Bosons at Finite Temperature
• Domain-wall melting and entanglement in free-fermion chains with a band structure
• Analytical solution of a free-fermion chain with time-dependent ramps
• Entanglement spreading after local and extended excitations in a free-fermion chain
• Inhomogeneous quenches and GHD in the $\nu =1$ QSSEP model