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Path integrals have, over the years, proven to be an extremely versatile tool for simulating the dynamics of open quantum systems. The initial limitations of applicability of these methods in terms of the size of the system has steadily…

Quantum Physics · Physics 2024-06-25 Amartya Bose

Describing nonequilibrium quantum dynamics remains a significant computational challenge due to the growth of spatial entanglement. The tensor network influence functional (TN-IF) approach mitigates this problem for computing the time…

Quantum Physics · Physics 2025-11-26 Gunhee Park , Johnnie Gray , Garnet Kin-Lic Chan

The tensor network states (TNS) methods combined with Monte Carlo (MC) techniques have been proved a powerful algorithm for simulating quantum many-body systems. However, because the ground state energy is a highly non-linear function of…

Strongly Correlated Electrons · Physics 2015-06-19 Wenyuan Liu , Chao Wang , Yanbin Li , Yuyang Lao , Yongjian Han , Guang-Can Guo , Lixin He

With the path integral approach, the thermal average in a multi-electronic-state quantum systems can be approximated by the ring polymer representation on an extended configuration space, where the additional degrees of freedom are…

Numerical Analysis · Mathematics 2020-11-24 Xiaoyu Lei , Zhennan Zhou

In the path integral formulation of the evolution of an open quantum system coupled to a Gaussian, non-interacting environment, the dynamical contribution of the latter is encoded in an object called the influence functional. Here, we…

Quantum Physics · Physics 2019-12-16 Mathias R. Jørgensen , Felix A. Pollock

The Bose Hubbard model (BHM) of interacting bosons in a lattice has been a paradigm in many-body physics, and it exhibits a Mott insulator (MI)-superfluid (SF) transition at integer filling. Here a quantum simulator of the BHM using a…

Superconductivity · Physics 2015-06-16 Xiuhao Deng , Chunjing Jia , Chih-Chun Chien

We devise a method based on the tensor-network formalism to calculate genuine multisite entanglement in ground states of infinite spin chains containing spin-1/2 or spin-1 quantum particles. The ground state is obtained by employing an…

Quantum Physics · Physics 2019-06-12 Sudipto Singha Roy , Himadri Shekhar Dhar , Aditi Sen De , Ujjwal Sen

We study theoretically the optical response of a nanohybrid comprising a symmetric quantum dimer emitter coupled to a metal nanoparticle (MNP). The interactions between the exitonic transitions in the dimer and the plasmons in the MNP lead…

Mesoscale and Nanoscale Physics · Physics 2015-11-11 Bintoro S. Nugroho , Victor A. Malyshev , Jasper Knoester

We present a theoretical study of interacting electron-hole pairs located on a magnetized surface of a strong topological insulator (TI). The excitonic energy levels and the optical absorption on such surface display unique and potentially…

Strongly Correlated Electrons · Physics 2011-07-05 Ion Garate , M. Franz

We propose the entanglement bipartitioning approach to design an optimal network structure of the tree-tensor-network (TTN) for quantum many-body systems. Given an exact ground-state wavefunction, we perform sequential bipartitioning of…

Quantum Physics · Physics 2023-03-02 Kouichi Okunishi , Hiroshi Ueda , Tomotoshi Nishino

Magnetic topological insulators (MTIs) offer a combination of topologically nontrivial characteristics and magnetic order and show promise in terms of potentially interesting physical phenomena such as the quantum anomalous Hall (QAH)…

Machine learning has revolutionized the high-dimensional representations for molecular properties such as potential energy. However, there are scarce machine learning models targeting tensorial properties, which are rotationally covariant.…

Chemical Physics · Physics 2020-08-11 Yaolong Zhang , Sheng Ye , Jinxiao Zhang , Ce Hu , Jun Jiang , Bin Jiang

To obtain precisely controllable, robust as well as reproduceable memristor for efficient neuromorphic computing still very challenging. Molecular tailoring aims at obtaining the much more flexibly tuning plasticity has recently generated…

Mesoscale and Nanoscale Physics · Physics 2017-04-06 Zhiyong Wang , Laiyuan Wang , Masaru Nagai , Linghai Xie , Haifeng Ling , Qi Li , Ying Zhu , Tengfei Li , Mingdong Yi , Naien Shi , Wei Huang

Tensor train (TT) decomposition is a powerful representation for high-order tensors, which has been successfully applied to various machine learning tasks in recent years. However, since the tensor product is not commutative, permutation of…

Numerical Analysis · Computer Science 2017-05-31 Qibin Zhao , Masashi Sugiyama , Andrzej Cichocki

In the present study, we have discussed the up-turn behavior in the resistivity pattern of the topological nodal line semimetal InBi. We argued that such nature could be generalized with a mathematical model, that can be applied to any…

The study of many-body quantum systems out of equilibrium remains a significant challenge with complexity barriers arising in both state and operator-based representations. In this work, we review recent approaches based on finding better…

We introduce, for the first time, bicoherent-state path integration as a method for quantizing non-hermitian systems. Bicoherent-state path integrals arise as a natural generalization of ordinary coherent-state path integrals, familiar from…

Mathematical Physics · Physics 2020-10-07 F. Bagarello , J. Feinberg

Recent developments in analog quantum simulators based on cold atoms and trapped ions call for cross-validating the accuracy of quantum-simulation experiments with use of quantitative numerical methods; however, it is particularly…

Quantum Gases · Physics 2022-03-23 Ryui Kaneko , Ippei Danshita

We provide an efficient approximation for the exponential of a local operator in quantum spin systems using tensor-network representations of a cluster expansion. We benchmark this cluster tensor network operator (cluster TNO) for…

Strongly Correlated Electrons · Physics 2021-12-03 Bram Vanhecke , David Devoogdt , Frank Verstraete , Laurens Vanderstraeten

We introduce mapping-variable ring polymer molecular dynamics (MV-RPMD), a model dynamics for the direct simulation of multi-electron processes. An extension of the RPMD idea, this method is based on an exact, imaginary time path-integral…

Statistical Mechanics · Physics 2015-06-17 Nandini Ananth