Symmetry Resolved Entanglement of Excited States in Quantum Field Theory
III: Bosonic and Fermionic Negativity
- URL: http://arxiv.org/abs/2302.02666v1
- Date: Mon, 6 Feb 2023 10:05:58 GMT
- Title: Symmetry Resolved Entanglement of Excited States in Quantum Field Theory
III: Bosonic and Fermionic Negativity
- Authors: Luca Capizzi, Michele Mazzoni, and Olalla A. Castro-Alvaredo
- Abstract summary: We study the resolved R'enyi entropies of quasi-particle excited states in quantum field theory.
We compute the ratio of charged moments of the partially transposed reduced density matrix as an expectation value of twist operators.
We find that although the operation of partial transposition requires a redefinition for fermionic theories, the ratio of the negativity moments between an excited state and the ground state is universal and identical for fermions and bosons.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In two recent works, we studied the symmetry resolved R\'enyi entropies of
quasi-particle excited states in quantum field theory. We found that the
entropies display many model-independent features which we discussed and
analytically characterised. In this paper we extend this line of investigation
by providing analytical and numerical evidence that a similar universal
behavior arises for the symmetry resolved negativity. In particular, we compute
the ratio of charged moments of the partially transposed reduced density matrix
as an expectation value of twist operators. These are ``fused" versions of the
more traditionally used branch point twist fields and were introduced in a
previous work. The use of twist operators allows us to perform the computation
in an arbitrary number of spacial dimensions. We show that, in the large-volume
limit, only the commutation relations between the twist operators and local
fields matter, and computations reduce to a purely combinatorial problem. We
address some specific issues regarding fermionic excitations, whose treatment
requires the notion of partial time-reversal transformation, and we discuss the
differences and analogies with their bosonic counterpart. We find that although
the operation of partial transposition requires a redefinition for fermionic
theories, the ratio of the negativity moments between an excited state and the
ground state is universal and identical for fermions and bosons as well as for
a large variety of very different states, ranging from simple qubit states to
the excited states of free quantum field theories. Our predictions are tested
numerically on a 1D Fermi chain.
Related papers
- Entanglement Rényi Negativity of Interacting Fermions from Quantum Monte Carlo Simulations [0.4209374775815558]
We study mixed-state quantum entanglement using negativity in interacting fermionic systems.
We calculate the rank-two R'enyi negativity for the half-filled Hubbard model and the spinless $t$-$V$ model.
Our work contributes to the calculation of entanglement and sets the stage for future studies on quantum entanglement in various fermionic many-body mixed states.
arXiv Detail & Related papers (2023-12-21T18:59:46Z) - Real-time dynamics of false vacuum decay [49.1574468325115]
We investigate false vacuum decay of a relativistic scalar field in the metastable minimum of an asymmetric double-well potential.
We employ the non-perturbative framework of the two-particle irreducible (2PI) quantum effective action at next-to-leading order in a large-N expansion.
arXiv Detail & Related papers (2023-10-06T12:44:48Z) - Reconstruction of Quantum Particle Statistics: Bosons, Fermions, and Transtatistics [0.0]
We classify quantum particle statistics based on operationally well-motivated assumptions.
We develop a complete characterization, which includes bosons and fermions as basic statistics with minimal symmetry.
arXiv Detail & Related papers (2023-06-09T14:22:38Z) - Dilute neutron star matter from neural-network quantum states [58.720142291102135]
Low-density neutron matter is characterized by the formation of Cooper pairs and the onset of superfluidity.
We model this density regime by capitalizing on the expressivity of the hidden-nucleon neural-network quantum states combined with variational Monte Carlo and reconfiguration techniques.
arXiv Detail & Related papers (2022-12-08T17:55:25Z) - Simulating scalar field theories on quantum computers with limited
resources [62.997667081978825]
We present a quantum algorithm for implementing $phi4$ lattice scalar field theory on qubit computers.
The algorithm allows efficient $phi4$ state preparation for a large range of input parameters in both the normal and broken symmetry phases.
arXiv Detail & Related papers (2022-10-14T17:28:15Z) - Symmetry Resolved Entanglement of Excited States in Quantum Field Theory
II: Numerics, Interacting Theories and Higher Dimensions [0.0]
We study the entanglement content of zero-density excited states in complex free quantum field theories.
By zero-density states we mean states consisting of a fixed, finite number of excitations above the ground state.
We show that the ratio of Fourier-transforms of the SREEs takes a very simple and universal form for these states.
arXiv Detail & Related papers (2022-06-24T11:47:09Z) - Symmetry Resolved Entanglement of Excited States in Quantum Field Theory
I: Free Theories, Twist Fields and Qubits [0.0]
We study the entanglement content of such zero-density excited states focusing on the symmetry resolved entanglement.
The ratio of charged moments between the excited and grounds states, from which the symmetry resolved entanglement entropy can be obtained, takes a very simple and universal form.
Using form factor techniques, we obtain both the ratio of moments and the symmetry resolved entanglement entropies in complex free theories which possess $U(1)$ symmetry.
arXiv Detail & Related papers (2022-03-23T17:15:44Z) - Long-distance entanglement of purification and reflected entropy in
conformal field theory [58.84597116744021]
We study entanglement properties of mixed states in quantum field theory via entanglement of purification and reflected entropy.
We find an elementary proof that the decay of both, the entanglement of purification and reflected entropy, is enhanced with respect to the mutual information behaviour.
arXiv Detail & Related papers (2021-01-29T19:00:03Z) - Quantum particle across Grushin singularity [77.34726150561087]
We study the phenomenon of transmission across the singularity that separates the two half-cylinders.
All the local realisations of the free (Laplace-Beltrami) quantum Hamiltonian are examined as non-equivalent protocols of transmission/reflection.
This allows to comprehend the distinguished status of the so-called bridging' transmission protocol previously identified in the literature.
arXiv Detail & Related papers (2020-11-27T12:53:23Z) - Aspects of quantum information in finite density field theory [0.0]
We study different aspects of quantum field theory at finite density using methods from quantum information theory.
For simplicity we focus on massive Dirac fermions with nonzero chemical potential, and work in $1+1$ space-time dimensions.
arXiv Detail & Related papers (2020-11-02T19:00:26Z) - Probing eigenstate thermalization in quantum simulators via
fluctuation-dissipation relations [77.34726150561087]
The eigenstate thermalization hypothesis (ETH) offers a universal mechanism for the approach to equilibrium of closed quantum many-body systems.
Here, we propose a theory-independent route to probe the full ETH in quantum simulators by observing the emergence of fluctuation-dissipation relations.
Our work presents a theory-independent way to characterize thermalization in quantum simulators and paves the way to quantum simulate condensed matter pump-probe experiments.
arXiv Detail & Related papers (2020-07-20T18:00:02Z)
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.