One-dimensional many-body entangled open quantum systems with tensor network methods
作者： Daniel Jaschke , Simone Montangero , Lincoln D Carr
关键词: Dephasing 、 Matrix multiplication 、 Physics 、 Master equation 、 Tensor 、 Quantum dynamics 、 Statistical physics 、 Schrödinger equation 、 Matrix product state 、 Lindblad equation
摘要: … We present a collection of methods to simulate entangled dynamics of open quantum … As we are treating many-body systems, the index ν can be a combined index running itself over the …
arxiv.org
sci-hub.se 参考文章(71)
Mark T. Lusk, Charles A. Stafford, Jeramy D. Zimmerman, Lincoln D. Carr, Control of exciton transport using quantum interference Physical Review B. ,vol. 92, pp. 241112- ,(2015) , 10.1103/PHYSREVB.92.241112
F. Verstraete, J. J. García-Ripoll, J. I. Cirac, Matrix product density operators: simulation of finite-temperature and dissipative systems. Physical Review Letters. ,vol. 93, pp. 207204- 207204 ,(2004) , 10.1103/PHYSREVLETT.93.207204
Jutho Haegeman, Christian Lubich, Ivan Oseledets, Bart Vandereycken, Frank Verstraete, Unifying time evolution and optimization with matrix product states Physical Review B. ,vol. 94, pp. 165116- ,(2016) , 10.1103/PHYSREVB.94.165116
Jian Cui, J. Ignacio Cirac, Mari Carmen Bañuls, Variational Matrix Product Operators for the Steady State of Dissipative Quantum Systems Physical Review Letters. ,vol. 114, pp. 220601- 220601 ,(2015) , 10.1103/PHYSREVLETT.114.220601
A. H. Werner, D. Jaschke, P. Silvi, M. Kliesch, T. Calarco, J. Eisert, S. Montangero, Positive Tensor Network Approach for Simulating Open Quantum Many-Body Systems. Physical Review Letters. ,vol. 116, pp. 237201- ,(2016) , 10.1103/PHYSREVLETT.116.237201
Eduardo Mascarenhas, Hugo Flayac, Vincenzo Savona, Matrix-product-operator approach to the nonequilibrium steady state of driven-dissipative quantum arrays Physical Review A. ,vol. 92, pp. 022116- ,(2015) , 10.1103/PHYSREVA.92.022116
J. Eisert, M. Cramer, M. B. Plenio, Colloquium: Area laws for the entanglement entropy Reviews of Modern Physics. ,vol. 82, pp. 277- 306 ,(2010) , 10.1103/REVMODPHYS.82.277
Andrew J. Daley, Quantum trajectories and open many-body quantum systems Advances in Physics. ,vol. 63, pp. 77- 149 ,(2014) , 10.1080/00018732.2014.933502
Michael Zwolak, Guifré Vidal, Mixed-state dynamics in one-dimensional quantum lattice systems: A time-dependent superoperator renormalization algorithm Physical Review Letters. ,vol. 93, pp. 207205- 207205 ,(2004) , 10.1103/PHYSREVLETT.93.207205
Jutho Haegeman, J. Ignacio Cirac, Tobias J. Osborne, Iztok Pižorn, Henri Verschelde, Frank Verstraete, Time-dependent variational principle for quantum lattices. Physical Review Letters. ,vol. 107, pp. 070601- 070601 ,(2011) , 10.1103/PHYSREVLETT.107.070601