Entanglement dualities in supersymmetry
- URL: http://arxiv.org/abs/2103.09657v2
- Date: Fri, 18 Jun 2021 10:51:44 GMT
- Title: Entanglement dualities in supersymmetry
- Authors: Robert H. Jonsson, Lucas Hackl, Krishanu Roychowdhury
- Abstract summary: We derive a general relation between the bosonic and fermionic entanglement in the ground states of supersymmetric quadratic Hamiltonians.
We find a peculiar phenomenon, namely, an amplified scaling of the entanglement entropy ("super area law") in bosonic subsystems when the dual fermionic subsystems develop almost maximally entangled modes.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We derive a general relation between the bosonic and fermionic entanglement
in the ground states of supersymmetric quadratic Hamiltonians. For this, we
construct canonical identifications between bosonic and fermionic subsystems.
Our derivation relies on a unified framework to describe both, bosonic and
fermionic Gaussian states in terms of so-called linear complex structures $J$.
The resulting dualities apply to the full entanglement spectrum between the
bosonic and the fermionic systems, such that the von Neumann entropy and
arbitrary Renyi entropies can be related. We illustrate our findings in one and
two-dimensional systems, including the paradigmatic Kitaev honeycomb model.
While typically SUSY preserves features like area law scaling of the
entanglement entropies on either side, we find a peculiar phenomenon, namely,
an amplified scaling of the entanglement entropy ("super area law") in bosonic
subsystems when the dual fermionic subsystems develop almost maximally
entangled modes.
Related papers
- Exactly solvable models for fermionic symmetry-enriched topological phases and fermionic 't Hooft anomaly [33.49184078479579]
The interplay between symmetry and topological properties plays a very important role in modern physics.
How to realize all these fermionic SET (fSET) phases in lattice models remains to be a difficult open problem.
arXiv Detail & Related papers (2024-10-24T19:52:27Z) - Quantum Chaos on Edge [36.136619420474766]
We identify two different classes: the near edge physics of sparse'' and the near edge of dense'' chaotic systems.
The distinction lies in the ratio between the number of a system's random parameters and its Hilbert space dimension.
While the two families share identical spectral correlations at energy scales comparable to the level spacing, the density of states and its fluctuations near the edge are different.
arXiv Detail & Related papers (2024-03-20T11:31:51Z) - 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) - Higher-order topological Peierls insulator in a two-dimensional
atom-cavity system [58.720142291102135]
We show how photon-mediated interactions give rise to a plaquette-ordered bond pattern in the atomic ground state.
The pattern opens a non-trivial topological gap in 2D, resulting in a higher-order topological phase hosting corner states.
Our work shows how atomic quantum simulators can be harnessed to investigate novel strongly-correlated topological phenomena.
arXiv Detail & Related papers (2023-05-05T10:25:14Z) - Universal features of entanglement entropy in the honeycomb Hubbard
model [44.99833362998488]
This paper introduces a new method to compute the R'enyi entanglement entropy in auxiliary-field quantum Monte Carlo simulations.
We demonstrate the efficiency of this method by extracting, for the first time, universal subleading logarithmic terms in a two dimensional model of interacting fermions.
arXiv Detail & Related papers (2022-11-08T15:52:16Z) - Symmetry-resolved entanglement of 2D symmetry-protected topological
states [0.0]
We develop methods that can access much larger systems and determine universal and nonuniversal features in their entanglement.
Specifically, we construct one-dimensional matrix product operators that encapsulate all the entanglement data of two-dimensional symmetry-protected topological states.
arXiv Detail & Related papers (2022-10-23T15:16:25Z) - Chaos and bi-partite entanglement between Bose-Joephson junctions [0.0]
The entanglement between two bosonic Josephson junctions is studied in relation to the classical mixed phasespace structure of the system.
The symmetry-resolved entanglement spectrum and bi-partite entanglement entropy of the system's energy eigenstates are calculated.
arXiv Detail & Related papers (2022-08-17T09:59:44Z) - Dynamical Evolution of Entanglement in Disordered Oscillator Systems [0.0]
We study the non-equilibrium dynamics of a disordered quantum system consisting of harmonic oscillators in a $d$-dimensional lattice.
If the system is sufficiently localized, we show that, starting from a broad class of initial product states that are associated with a tiling (decomposition) of the $d$-dimensional lattice, the dynamical evolution of entanglement follows an area law in all times.
arXiv Detail & Related papers (2021-04-28T15:16:50Z) - Entanglement Hamiltonian of Interacting Systems: Local Temperature
Approximation and Beyond [0.0]
We investigate the second quantization form of the entanglement Hamiltonian of various subregions for the ground-state of lattice fermions and spin models.
The relation between the EH and the model Hamiltonian itself is an unsolved problem for the ground-state of generic local Hamiltonians.
arXiv Detail & Related papers (2020-12-09T19:00:02Z) - Dynamical solitons and boson fractionalization in cold-atom topological
insulators [110.83289076967895]
We study the $mathbbZ$ Bose-Hubbard model at incommensurate densities.
We show how defects in the $mathbbZ$ field can appear in the ground state, connecting different sectors.
Using a pumping argument, we show that it survives also for finite interactions.
arXiv Detail & Related papers (2020-03-24T17:31:34Z)
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.