Density Induced Phase Transitions in the Schwinger Model: A Study with Matrix Product States

被引:70
作者
Banuls, Mari Carmen [1 ]
Cichy, Krzysztof [2 ,3 ]
Cirac, J. Ignacio [1 ]
Jansen, Karl [4 ]
Kuehn, Stefan [1 ]
机构
[1] Max Planck Inst Quantum Opt, Hans Kopfermann Str 1, D-85748 Garching, Germany
[2] Goethe Univ Frankfurt Main, Inst Theoret Phys, Max von Laue Str 1, D-60438 Frankfurt, Germany
[3] Adam Mickiewicz Univ, Fac Phys, Umultowska 85, PL-61614 Poznan, Poland
[4] DESY Zeuthen, NIC, Platanenallee 6, D-15738 Zeuthen, Germany
关键词
LATTICE GAUGE-THEORIES; ENTANGLED PAIR STATES; FINITE-DENSITY; CONFINEMENT; FORMULATION; SYSTEMS;
D O I
10.1103/PhysRevLett.118.071601
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We numerically study the zero temperature phase structure of the multiflavor Schwinger model at nonzero chemical potential. Using matrix product states, we reproduce analytical results for the phase structure for two flavors in the massless case and extend the computation to the massive case, where no analytical predictions are available. Our calculations allow us to locate phase transitions in the mass-chemical potential plane with great precision and provide a concrete example of tensor networks overcoming the sign problem in a lattice gauge theory calculation.
引用
收藏
页数:5
相关论文
共 53 条
[1]   Overcoming the sign problem in one-dimensional QCD by new integration rules with polynomial exactness [J].
Ammon, A. ;
Hartung, T. ;
Jansen, K. ;
Leoevey, H. ;
Volmer, J. .
PHYSICAL REVIEW D, 2016, 94 (11)
[2]   Atomic Quantum Simulation of Dynamical Gauge Fields Coupled to Fermionic Matter: From String Breaking to Evolution after a Quench [J].
Banerjee, D. ;
Dalmonte, M. ;
Mueller, M. ;
Rico, E. ;
Stebler, P. ;
Wiese, U. -J. ;
Zoller, P. .
PHYSICAL REVIEW LETTERS, 2012, 109 (17)
[3]   STRONG-COUPLING CALCULATIONS OF LATTICE GAUGE THEORIES - (1+1)-DIMENSIONAL EXERCISES [J].
BANKS, T ;
SUSSKIND, L ;
KOGUT, J .
PHYSICAL REVIEW D, 1976, 13 (04) :1043-1053
[4]   Thermal evolution of the Schwinger model with matrix product operators [J].
Banuls, M. C. ;
Cichy, K. ;
Cirac, J. I. ;
Jansen, K. ;
Saito, H. .
PHYSICAL REVIEW D, 2015, 92 (03)
[5]   The mass spectrum of the Schwinger model with matrix product states [J].
Banuls, M. C. ;
Cichy, K. ;
Cirac, J. I. ;
Jansen, K. .
JOURNAL OF HIGH ENERGY PHYSICS, 2013, (11)
[6]  
Banuls M. C., ARXIV161101458
[7]   Chiral condensate in the Schwinger model with matrix product operators [J].
Banuls, Mari Carmen ;
Cichy, Krzysztof ;
Jansen, Karl ;
Saito, Hana .
PHYSICAL REVIEW D, 2016, 93 (09)
[8]   Confinement and String Breaking for QED2 in the Hamiltonian Picture [J].
Buyens, Boye ;
Haegeman, Jutho ;
Verschelde, Henri ;
Verstraete, Frank ;
Van Acoleyen, Karel .
PHYSICAL REVIEW X, 2016, 6 (04)
[9]   Hamiltonian simulation of the Schwinger model at finite temperature [J].
Buyens, Boye ;
Verstraete, Frank ;
Van Acoleyen, Karel .
PHYSICAL REVIEW D, 2016, 94 (08)
[10]   Matrix Product States for Gauge Field Theories [J].
Buyens, Boye ;
Haegeman, Jutho ;
Van Acoleyen, Karel ;
Verschelde, Henri ;
Verstraete, Frank .
PHYSICAL REVIEW LETTERS, 2014, 113 (09)