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

2015/07/31 by Florian A. Y. N. Schröder, Alex W. Chin · 121 citations
Mathematics · Physics and Astronomy · #Classical mechanics #Dynamics (music) #Materials science #Mathematics #Matrix (chemical analysis) #Physics #Product (mathematics) #Quantum #Quantum dynamics #Quantum many-body systems #Quantum mechanics #Quantum, superfluid, helium dynamics #Spectroscopy and Quantum Chemical Studies #Statistical physics #Time evolution #cond-mat.mes-hall #cond-mat.str-el #quant-ph

paper · pdf · doi:10.1103/physrevb.93.075105

published in Physical review. B./Physical review. B 93(7) (American Physical Society) · 11 pages, 10 figures. Amended version, as published

openalex publication_date 2016/02/02 · arxiv created 2016/02/12 · arxiv updated 2016/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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.

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