Symmetry-resolved entanglement in a long-range free-fermion chain
- URL: http://arxiv.org/abs/2202.05874v2
- Date: Tue, 21 Jun 2022 14:44:42 GMT
- Title: Symmetry-resolved entanglement in a long-range free-fermion chain
- Authors: Filiberto Ares, Sara Murciano, Pasquale Calabrese
- Abstract summary: We study the symmetry-resolved entanglement entropy in the ground state of a fermionic chain.
We find entanglement, but comparing with the short-range counterpart its breaking occurs at a different order and it does depend on the hopping amplitudes.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We investigate the symmetry resolution of entanglement in the presence of
long-range couplings. To this end, we study the symmetry-resolved entanglement
entropy in the ground state of a fermionic chain that has dimerised long-range
hoppings with power-like decaying amplitude -- a long-range generalisation of
the Su-Schrieffer-Heeger model. This is a system that preserves the number of
particles. The entropy of each symmetry sector is calculated via the charged
moments of the reduced density matrix. We exploit some recent results on block
Toeplitz determinants generated by a discontinuous symbol to obtain
analytically the asymptotic behaviour of the charged moments and of the
symmetry-resolved entropies for a large subsystem. At leading order we find
entanglement equipartition, but comparing with the short-range counterpart its
breaking occurs at a different order and it does depend on the hopping
amplitudes.
Related papers
- Emergence of non-Abelian SU(2) invariance in Abelian frustrated
fermionic ladders [37.69303106863453]
We consider a system of interacting spinless fermions on a two-leg triangular ladder with $pi/2$ magnetic flux per triangular plaquette.
Microscopically, the system exhibits a U(1) symmetry corresponding to the conservation of total fermionic charge, and a discrete $mathbbZ$ symmetry.
At the intersection of the three phases, the system features a critical point with an emergent SU(2) symmetry.
arXiv Detail & Related papers (2023-05-11T15:57:27Z) - Entanglement resolution of free Dirac fermions on a torus [68.8204255655161]
We first evaluate the SRE for massless Dirac fermions in a system at finite temperature and size.
The charge-dependent entropies turn out to be equally distributed among all the symmetry sectors at leading order.
arXiv Detail & Related papers (2022-12-14T14:54:35Z) - Indication of critical scaling in time during the relaxation of an open
quantum system [34.82692226532414]
Phase transitions correspond to the singular behavior of physical systems in response to continuous control parameters like temperature or external fields.
Near continuous phase transitions, associated with the divergence of a correlation length, universal power-law scaling behavior with critical exponents independent of microscopic system details is found.
arXiv Detail & Related papers (2022-08-10T05:59:14Z) - Dynamical scaling symmetry and asymptotic quantum correlations for
time-dependent scalar fields [0.0]
In time-independent quantum systems, entanglement entropy possesses an inherent scaling symmetry that the energy of the system does not have.
We show that such systems have dynamical scaling symmetry that leaves the evolution of various measures of quantum correlations invariant.
arXiv Detail & Related papers (2022-05-26T13:20:46Z) - Spectral form factor in a minimal bosonic model of many-body quantum
chaos [1.3793594968500609]
We study spectral form factor in periodically-kicked bosonic chains.
We numerically find a nontrivial systematic system-size dependence of the Thouless time.
arXiv Detail & Related papers (2022-03-10T15:56:24Z) - Rapid thermalization of spin chain commuting Hamiltonians [13.349045680843885]
We prove that spin chains weakly coupled to a large heat bath thermalize rapidly at any temperature for finite-range, translation-invariant commuting Hamiltonians.
This has wide-ranging applications to the study of many-body in and out-of-equilibrium quantum systems.
arXiv Detail & Related papers (2021-12-01T16:08:10Z) - Spectrum of localized states in fermionic chains with defect and
adiabatic charge pumping [68.8204255655161]
We study the localized states of a generic quadratic fermionic chain with finite-range couplings.
We analyze the robustness of the connection between bands against perturbations of the Hamiltonian.
arXiv Detail & Related papers (2021-07-20T18:44:06Z) - Exact quench dynamics of symmetry resolved entanglement in a free
fermion chain [0.0]
We study the time evolution of the symmetry resolved entanglement in free fermion systems.
Both entanglement entropies and mutual information show effective equipartition in the scaling limit of large time and subsystem size.
We argue that the behaviour of the charged entropies can be quantitatively understood in the framework of the quasiparticle picture for the spreading of entanglement.
arXiv Detail & Related papers (2021-06-24T15:50:27Z) - SYK meets non-Hermiticity II: measurement-induced phase transition [16.533265279392772]
We analytically derive the effective action in the large-$N$ limit and show that an entanglement transition is caused by the symmetry breaking in the enlarged replica space.
We also verify the large-$N$ critical exponents by numerically solving the Schwinger-Dyson equation.
arXiv Detail & Related papers (2021-04-16T17:55:08Z) - Boundary effects on symmetry resolved entanglement [0.0]
We study the symmetry resolved entanglement entropies in one-dimensional systems with boundaries.
We derive exact formulas for the charged and symmetry resolved entropies based on theorems and conjectures.
arXiv Detail & Related papers (2020-09-17T19:34:34Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.