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

[41] Local relaxation and light-cone-like propagation of correlations in a trapped one-dimensional Bose gas [J].

Geiger, R. ;

Langen, T. ;

Mazets, I. E. ;

Schmiedmayer, J. .

NEW JOURNAL OF PHYSICS, 2014, 16

[42] Absence of Thermalization in Nonintegrable Systems [J].

Gogolin, Christian ;

Mueller, Markus P. ;

Eisert, Jens .

PHYSICAL REVIEW LETTERS, 2011, 106 (04)

[43] Unifying time evolution and optimization with matrix product states [J].

Haegeman, Jutho ;

Lubich, Christian ;

Oseledets, Ivan ;

Vandereycken, Bart ;

Verstraete, Frank .

PHYSICAL REVIEW B, 2016, 94 (16)

[44] Gauging Quantum States: From Global to Local Symmetries in Many-Body Systems [J].

Haegeman, Jutho ;

Van Acoleyen, Karel ;

Schuch, Norbert ;

Cirac, J. Ignacio ;

Verstraete, Frank .

PHYSICAL REVIEW X, 2015, 5 (01)

[45] Post-matrix product state methods: To tangent space and beyond [J].

Haegeman, Jutho ;

Osborne, Tobias J. ;

Verstraete, Frank .

PHYSICAL REVIEW B, 2013, 88 (07)

[46] Variational matrix product ansatz for dispersion relations [J].

Haegeman, Jutho ;

Pirvu, Bogdan ;

Weir, David J. ;

Cirac, Ignacio ;

Osborne, Tobias J. ;

Verschelde, Henri ;

Verstraete, Frank .

PHYSICAL REVIEW B, 2012, 85 (10)

[47] Time-Dependent Variational Principle for Quantum Lattices [J].

Haegeman, Jutho ;

Cirac, J. Ignacio ;

Osborne, Tobias J. ;

Pizorn, Iztok ;

Verschelde, Henri ;

Verstraete, Frank .

PHYSICAL REVIEW LETTERS, 2011, 107 (07)

[48] THE MASSIVE SCHWINGER MODEL ON A LATTICE - BACKGROUND FIELD, CHIRAL SYMMETRY AND THE STRING TENSION [J].

HAMER, CJ ;

KOGUT, J ;

CREWTHER, DP ;

MAZZOLINI, MM .

NUCLEAR PHYSICS B, 1982, 208 (03) :413-438

[49]

Hatano N, 2005, LECT NOTES PHYS, V679, P37, DOI 10.1007/11526216_2

[50] Quantum Simulation of a Lattice Schwinger Model in a Chain of Trapped Ions [J].

Hauke, P. ;

Marcos, D. ;

Dalmonte, M. ;

Zoller, P. .

PHYSICAL REVIEW X, 2013, 3 (04)

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