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Understanding and simulating how a quantum system interacts and exchanges information or energy with its surroundings is a ubiquitous problem, one which must be carefully addressed in order to establish a coherent framework to describe the…

Quantum Physics · Physics 2021-05-25 Steve Campbell , Bassano Vacchini

We introduce a numerical framework for integrating Markovian dynamics on tree tensor operator (TTO) ansatz states. This framework enables the simulation of both transient and steady-state regimes of systems governed by the Lindblad master…

Quantum Physics · Physics 2026-01-30 Darvin Wanisch , Nora Reinić , Daniel Jaschke , Simone Montangero , Pietro Silvi

Multitime system correlations functions are relevant in various areas of physics and science, dealing with system-bath interaction including spectroscopy and quantum optics, where many of these schemes include an off-diagonal system bath…

Quantum Physics · Physics 2022-04-27 Marten Richter , Stephen Hughes

The quantum open-system simulation is an important category of quantum simulation. By simulating the thermalisation process at the zero temperature, we can solve the ground-state problem of quantum systems. To realise the open-system…

Quantum Physics · Physics 2020-01-22 Hong-Yi Su , Ying Li

We solve the model of N quantum Brownian oscillators linearly coupled to an environment of quantum oscillators at finite temperature, with no extra assumptions about the structure of the system-environment coupling. Using a compact…

Quantum Physics · Physics 2011-06-29 C. H. Fleming , Albert Roura , B. L. Hu

Many-body approaches to open quantum systems have recently become powerful tools for investigating the detailed role of dissipative environments in diverse non-equilibrium molecular and condensed matter processes. Here, we report the…

Mesoscale and Nanoscale Physics · Physics 2016-02-15 Florian A. Y. N. Schröder , Alex W. Chin

Non-Markovianity may significantly speed up quantum dynamics when the system interacts strongly with an infinite large reservoir, of which the coupling spectrum should be fine-tuned. The potential benefits are evident in many dynamics…

Quantum Physics · Physics 2022-02-07 Xiangyi Meng , Yang Li , Jian-Wei Zhang , Hong Guo , H. Eugene Stanley

To investigate the possibility of measuring the intermolecular and intramolecular anharmonic coupling of balk water, we calculate third-order two-dimensional (2D) infrared (IR) spectra and fifth-order 2D IR-IR-Raman-Raman spectra expressed…

Soft Condensed Matter · Physics 2023-05-04 Hideaki Takahashi , Yoshitaka Tanimura

Projected Entangled Pair States (PEPS) are recognized as a potent tool for exploring two-dimensional quantum many-body systems. However, a significant challenge emerges when applying conventional PEPS methodologies to systems with periodic…

Strongly Correlated Electrons · Physics 2024-07-23 Shaojun Dong , Chao Wang , Hao Zhang , Meng Zhang , Lixin He

We present a systematic way to analyze and model systems having many characteristic time-scales. The method we propose is employed for a test-case of a meandering jet model manifesting chaotic tracer dispersion with long time-correlations.…

Chaotic Dynamics · Physics 2007-05-23 M. Abel , K. H. Andersen , G. Lacorata

The analysis of nonlinear spectroscopy, widely used to study the dynamics and structures of condensed-phase matter, typically employs a perturbative approach noticing the weak interaction between the laser and the matter of interest.…

Optics · Physics 2022-06-23 Xue Zhang , Hui Dong

We demonstrate that a tensor product structure and optical analogy of quantum entanglement can be obtained by introducing pseudorandom phase sequences into classical fields with two orthogonal modes. Using the classical analogy, we discuss…

Quantum Physics · Physics 2016-09-27 Jian Fu , Xutai Ma , Wenjiang Li , Shuo Sun

Linear operations, e.g., vector-matrix and vector-vector multiplications, are core operations of modern neural networks. To diminish computational time, these operations are implemented by parallel computations using different coprocessors.…

Quantum Physics · Physics 2026-05-15 I. V. Vovchenko , A. A. Zyablovsky , A. A. Pukhov , E. S. Andrianov

In this work we provide an exact and efficient numerical approach to simulate multi-time correlation functions in the Mahan-Nozi\`{e}res-De Dominicis model, which crudely mimics the spectral properties of doped two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2022-06-07 Lachlan P Lindoy , Yao-Wen Chang , David R Reichman

The interaction between a quantum system and its environment limits our ability to control it and perform quantum operations on it. We present an efficient method to find optimal controls for quantum systems coupled to non-Markovian…

We compare approaches to evaluation of decoherence at low temperatures in two-state quantum systems weakly coupled to the environment. By analyzing an exactly solvable model, we demonstrate that a non-Markovian approximation scheme yields…

Mesoscale and Nanoscale Physics · Physics 2010-10-12 Dmitry Solenov , Vladimir Privman

Open quantum systems (OQS) cannot always be described with the Markov approximation, which requires a large separation of system and environment time scales. Here, we give an overview of some of the most important techniques available to…

Quantum Physics · Physics 2017-02-15 Inés de Vega , Daniel Alonso

We present a tensor-network-based method for simulating a weakly-measured quantum circuit. In particular, we use a Markov chain to efficiently sample measurements and contract the tensor network, propagating their effect forward along the…

Quantum Physics · Physics 2025-10-09 Darren Pereira , Leonardo Banchi

Tensor network formalisms have emerged as powerful tools for simulating quantum state evolution. While widely applied in the study of optical quantum circuits, such as Boson Sampling, existing tensor network approaches fail to address the…

Quantum Physics · Physics 2026-05-18 Dario Cilluffo , Matthias Kost , Nicola Lorenzoni , Martin B. Plenio

We introduce an exact open system method to describe the dynamics of quantum systems that are strongly coupled to specific types of environments comprising of spins, such as central spin systems. Our theory is similar to the established…

Quantum Physics · Physics 2023-09-06 Valentin Link , Kimmo Luoma , Walter T. Strunz