2014/11/18 by Lars Bonnes, Bonnes, Lars, Andreas M. Läuchli +1 · 1 citation
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Quantum Gases (cond-mat.quant-gas) #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Quantum many-body systems #cond-mat.quant-gas #quant-ph
paper · pdf · doi:10.48550/arxiv.1411.4831
10 pages, 9 figures
arxiv created 2014/11/18 · openalex publication_date 2014/11/18 · arxiv updated 2014/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Quantum trajectories and superoperator algorithms implemented within the matrix product state (MPS) framework are powerful tools to simulate the real-time dynamics of open dissipative quantum systems. As for the unitary case, the reachable time-scales as well as system sizes are limited by the (possible) build-up of entanglement entropy. The aforementioned methods constitute complementary approaches how Lindblad master equations can be integrated relying either on a quasi-exact representation of the full density matrix or a stochastic unraveling of the density matrix in terms of pure states. In this work, we systematically benchmark both methods by studying the dynamics of a Bose-Hubbard chain in the presence of local as well as global dephasing. The build-up as well as system-size scaling of entanglement entropy strongly depends on the method and the parameter regime and we discuss the applicability of the methods for these cases as well as study the distribution of observables and time discretization errors that can become a limiting factor for global dissipation.