Simulating open quantum dynamics with time-dependent variational matrix product states: Towards microscopic correlation of environment dynamics and reduced system evolution

被引:87
作者
Schroeder, Florian A. Y. N. [1 ]
Chin, Alex W. [1 ]
机构
[1] Univ Cambridge, Cavendish Lab, JJ Thomson Ave, Cambridge CB3 0HE, England
基金
英国工程与自然科学研究理事会;
关键词
RENORMALIZATION-GROUP; COHERENCE;
D O I
10.1103/PhysRevB.93.075105
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We report the development of an efficient many-body algorithm for simulating open quantum system dynamics that utilizes a time-dependent variational principle for matrix product states to evolve large system-environment states. Capturing all system-environment correlations, we reproduce the nonperturbative, quantum-critical dynamics of the zero-temperature spin-boson model, and then exploit the many-body information to visualize the complete time-frequency spectrum of the environmental excitations. Our "environmental spectra" reveal correlated vibrational motion in polaronic modes which preserve their vibrational coherence during incoherent spin relaxation, demonstrating how environment information could yield valuable insights into complex quantum dissipative processes.
引用
收藏
页数:10
相关论文
共 48 条
[11]   Generalized Polaron Ansatz for the Ground State of the Sub-Ohmic Spin-Boson Model: An Analytic Theory of the Localization Transition [J].
Chin, Alex W. ;
Prior, Javier ;
Huelga, Susana F. ;
Plenio, Martin B. .
PHYSICAL REVIEW LETTERS, 2011, 107 (16)
[12]   Exact mapping between system-reservoir quantum models and semi-infinite discrete chains using orthogonal polynomials [J].
Chin, Alex W. ;
Rivas, Angel ;
Huelga, Susana F. ;
Plenio, Martin B. .
JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (09)
[13]   Coherently wired light-harvesting in photosynthetic marine algae at ambient temperature [J].
Collini, Elisabetta ;
Wong, Cathy Y. ;
Wilk, Krystyna E. ;
Curmi, Paul M. G. ;
Brumer, Paul ;
Scholes, Gregory D. .
NATURE, 2010, 463 (7281) :644-U69
[14]   Evidence for wavelike energy transfer through quantum coherence in photosynthetic systems [J].
Engel, Gregory S. ;
Calhoun, Tessa R. ;
Read, Elizabeth L. ;
Ahn, Tae-Kyu ;
Mancal, Tomas ;
Cheng, Yuan-Chung ;
Blankenship, Robert E. ;
Fleming, Graham R. .
NATURE, 2007, 446 (7137) :782-786
[15]   Coherent ultrafast charge transfer in an organic photovoltaic blend [J].
Falke, Sarah Maria ;
Rozzi, Carlo Andrea ;
Brida, Daniele ;
Maiuri, Margherita ;
Amato, Michele ;
Sommer, Ephraim ;
De Sio, Antonietta ;
Rubio, Angel ;
Cerullo, Giulio ;
Molinari, Elisa ;
Lienau, Christoph .
SCIENCE, 2014, 344 (6187) :1001-1005
[16]   Real-Time Decoherence of Landau and Levitov Quasiparticles in Quantum Hall Edge Channels [J].
Ferraro, D. ;
Roussel, B. ;
Cabart, C. ;
Thibierge, E. ;
Feve, G. ;
Grenier, Ch. ;
Degiovanni, P. .
PHYSICAL REVIEW LETTERS, 2014, 113 (16)
[17]   Matrix product state representation without explicit local Hilbert space truncation with applications to the sub-ohmic spin-boson model [J].
Frenzel, Max F. ;
Plenio, Martin B. .
NEW JOURNAL OF PHYSICS, 2013, 15
[18]   Ultrafast Long-Range Charge Separation in Organic Semiconductor Photovoltaic Diodes [J].
Gelinas, Simon ;
Rao, Akshay ;
Kumar, Abhishek ;
Smith, Samuel L. ;
Chin, Alex W. ;
Clark, Jenny ;
van der Poll, Tom S. ;
Bazan, Guillermo C. ;
Friend, Richard H. .
SCIENCE, 2014, 343 (6170) :512-516
[19]   Critical and Strong-Coupling Phases in One- and Two-Bath Spin-Boson Models [J].
Guo, Cheng ;
Weichselbaum, Andreas ;
von Delft, Jan ;
Vojta, Matthias .
PHYSICAL REVIEW LETTERS, 2012, 108 (16)
[20]  
Haegeman J., ARXIV14085056