Real-time simulation of the Schwinger effect with matrix product states

被引：67

作者：

Buyens, Boye ^{[1
]}

Haegeman, Jutho ^{[1
]}

Hebenstreit, Florian ^{[2
]}

Verstraete, Frank ^{[1
,3
]}

Van Acoleyen, Karel ^{[1
]}

机构：

[1] Univ Ghent, Dept Phys & Astron, Krijgslaan 281, B-9000 Ghent, Belgium

[2] Univ Bern, Inst Theoret Phys, Albert Einstein Ctr Fundamental Phys, Sidlerstr 5, CH-3012 Bern, Switzerland

[3] Univ Vienna, Fac Phys, Vienna Ctr Quantum Sci & Technol, Boltzmanngasse 5, A-1090 Vienna, Austria

来源：

PHYSICAL REVIEW D | 2017年 / 96卷 / 11期

基金：

欧洲研究理事会;

关键词：

ENTANGLED PAIR STATES; LATTICE GAUGE-THEORIES; RENORMALIZATION-GROUP; HAMILTONIAN-FORMULATION; QUANTUM; MODEL; DYNAMICS; THERMALIZATION; INVARIANCE; SYSTEMS;

D O I：

10.1103/PhysRevD.96.114501

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Matrix Product States (MPS) are used for the simulation of the real-time dynamics induced by an electric quench on the vacuum state of the massive Schwinger model. For small quenches it is found that the obtained oscillatory behavior of local observables can be explained from the single-particle excitations of the quenched Hamiltonian. For large quenches damped oscillations are found and comparison of the late time behavior with the appropriate Gibbs states seems to give some evidence for the onset of thermalization. Finally, the MPS real-time simulations are compared with results from real-time lattice gauge theory which are expected to agree in the limit of large quenches.

引用

页数：15

共 109 条

[1] Massive Schwinger model within mass perturbation theory [J].

Adam, C .

ANNALS OF PHYSICS, 1997, 259 (01) :1-63

[2] Quantum Chaos and Effective Thermalization [J].

Altland, Alexander ;

Haake, Fritz .

PHYSICAL REVIEW LETTERS, 2012, 108 (06)

[3]

Bali G. S., 1999, Fizika B, V8, P229

[4] 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

[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] Strong and Weak Thermalization of Infinite Nonintegrable Quantum Systems [J].

Banuls, M. C. ;

Cirac, J. I. ;

Hastings, M. B. .

PHYSICAL REVIEW LETTERS, 2011, 106 (05)

[7]

Banuls M. C., 2016, P SCI LATTICE2016, V2016, P316

[8] Towards overcoming the Monte Carlo sign problem with tensor networks [J].

Banuls, Mari Carmen ;

Cichy, Krzysztof ;

Cirac, J. Ignacio ;

Jansen, Karl ;

Kuehn, Stefan ;

Saito, Hana .

XIITH QUARK CONFINEMENT AND THE HADRON SPECTRUM, 2017, 137

[9] Density Induced Phase Transitions in the Schwinger Model: A Study with Matrix Product States [J].

Banuls, Mari Carmen ;

Cichy, Krzysztof ;

Cirac, J. Ignacio ;

Jansen, Karl ;

Kuehn, Stefan .

PHYSICAL REVIEW LETTERS, 2017, 118 (07)

[10] 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)

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