DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Entanglement in massive Schwinger model at finite temperature and density

Journal Article · · Physical Review. D.

We evaluate the entanglement entropy and entropic function of massive two dimensional quantum electrodynamics (Schwinger model) at finite temperature, density, and θ -angle. In the strong coupling regime, the entropic function is dominated by the boson mass for large spatial intervals, and reduces to the conformal field theory result for small spatial intervals. We also discuss the entanglement spectrum at finite temperature and a finite θ -angle. Published by the American Physical Society 2024

Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States); Stony Brook University, NY (United States)
Sponsoring Organization:
USDOE; USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
FG02-88ER40388; SC0012704
OSTI ID:
2282390
Report Number(s):
BNL--225474-2024-JAAM; 016023
Journal Information:
Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 1 Vol. 109; ISSN PRVDAQ; ISSN 2470-0010
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (33)

Finite Temperature Schwinger Model with Chirality Breaking Boundary Conditions journal April 1997
On the fermion condensate in the Schwinger model journal March 1992
A two-dimensional model for mesons journal June 1974
The massive Schwinger model on a lattice: Background field, chiral symmetry and the string tension journal December 1982
Finite temperature correlators in the Schwinger model journal August 1994
General correlation functions in the Schwinger model at zero and finite temperature journal October 1995
Entanglement entropy and quantum field theory journal June 2004
Entanglement and alpha entropies for a massive Dirac field in two dimensions journal July 2005
Entanglement and alpha entropies for a massive scalar field in two dimensions journal December 2005
An area law for one-dimensional quantum systems journal August 2007
Entanglement entropy and conformal field theory journal December 2009
Quantum Simulation for High-Energy Physics journal May 2023
Gauge Invariance and Mass. II journal December 1962
Quantum-classical computation of Schwinger model dynamics using quantum computers journal September 2018
Entanglement in Regge scattering using the AdS/CFT correspondence journal August 2019
Real-time dynamics of Chern-Simons fluctuations near a critical point journal April 2021
Spatial entanglement in two-dimensional QCD: Renyi and Ryu-Takayanagi entropies journal March 2023
Nonlinear chiral magnetic waves journal October 2023
Detecting the critical point through entanglement in the Schwinger model journal November 2023
Quantum sine-Gordon equation as the massive Thirring model journal April 1975
Invariant fermion correlator in the Schwinger model on the torus journal May 1995
Dense QCD: Overhauser or BCS pairing? journal July 2000
Emergence of the Skyrme crystal in Gross-Neveu and ’t Hooft models at finite density journal September 2000
Chiral crystal in cold QCD matter at intermediate densities? journal January 2001
Density matrix renormalization group approach to the massive Schwinger model journal July 2002
Holographic pomeron and entropy journal July 2013
Entanglement entropy in ’t Hooft model journal July 2015
Deep inelastic scattering as a probe of entanglement journal June 2017
Real-Time Nonperturbative Dynamics of Jet Production in Schwinger Model: Quantum Entanglement and Vacuum Modification journal July 2023
Energy Cost of Information Transfer journal March 1981
Entropy and area journal August 1993
The multi-flavor Schwinger model with chemical potential - Overcoming the sign problem with Matrix Product States
  • Kühn, Stefan; Banuls, Mari Carmen; Cichy, Krzysztof
  • Proceedings of 34th annual International Symposium on Lattice Field Theory — PoS(LATTICE2016) https://doi.org/10.22323/1.256.0316
conference February 2017
Exploring the phase structure of the multi-flavor Schwinger model with quantum computing
  • Kühn, Stefan; Funcke, Lena; Hartung, Tobias
  • Proceedings of The 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022) https://doi.org/10.22323/1.430.0020
conference January 2023