Being able to study the dynamics of quantum systems interacting with several environments is important in many settings ranging from quantum chemistry to quantum thermodynamics, through out-of-equilibrium systems. For such problems tensor network-based methods are state-of-the-art approaches for performing numerically exact simulations. However, to be used efficiently in this multi-environment and non-perturbative context, these methods require an optimized choice of the topology of the wave-function Ansätze. This is often done by analysing cross-correlations between different system and environment degrees of freedom. Here, we show for canonical model Hamiltonians that simple orderings of bosonic environmental modes, which enable the joint {System + Environments} state to be written as a matrix product state, considerably reduce the bond dimension required for convergence despite introducing long-ranged interactions. These results suggest that complex correlation analyses for tweaking tensor networks topology (e.g. entanglement renormalization) are usually not necessary and that tree tensor network states are sub-optimal compared to simple matrix product states in many important models of physical open systems.
Scalable simulation of non-Markovian quantum transport by stochastic-phase bath reduction
University of California, Berkeley(加州大学伯克利分校);Flatiron Institute(平顿研究所);Lawrence Berkeley National Laboratory(劳伦斯伯克利国家实验室);California Institute of Technology(加州理工学院)
From Bound States to Quantum Spin Models: Chiral Coherent Dynamics in Topological Photonic Rings
Institute of Materials Science, Kiel University(基尔大学材料科学研究所);Kiel Nano, Surface and Interface Science KiNSIS, Christian Albrechts University(克里斯蒂安·阿尔布莱希特大学基尔纳米、表面与界面科学KiNSIS)
Thermodynamic performance of a measurement-driven quantum engine with a two-parameter $(p,q)$-deformed harmonic oscillator
Khalifa University of Science and Technology(哈利法科学技术大学);KU Research Center for Advanced Intelligent Systems (AIS), Khalifa University of Science and Technology(哈利法科学技术大学 KU 先进智能系统研究中心)
Quantum Transport in Disordered Spin Networks: Emergent Timescales and Competing Pathways
The Racah Institute of Physics, The Hebrew University of Jerusalem(耶路撒冷希伯来大学拉卡赫物理研究所);Inst. of Applied Physics, The Hebrew University of Jerusalem(耶路撒冷希伯来大学应用物理研究所);Vector Institute(矢量研究所);Department of Chemistry and Centre for Quantum Information and Quantum Control, University of Toronto(多伦多大学化学系及量子信息与量子控制中心)
Physics-Informed Variational Quantum Classifier for Phase Detection in Strongly Correlated Matter
Instituto de Física Corpuscular, Universitat de València – Consejo Superior de Investigaciones Científicas(瓦伦西亚大学-西班牙国家研究委员会粒子物理研究所);Escuela de Ciencias, Ingeniería y Diseño, Universidad Europea de Valencia(瓦伦西亚欧洲大学科学与工程设计学院);Facultat de Física, Universitat de València(瓦伦西亚大学物理学院)