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7 papers · 1 filter
A matrix form solution of the multi-dimensional generalized Langevin equation in the quadratic potential
Rana Imran Mushtaq, Chunyang Wang, Shi Zhi +2
In this research paper, we present an exact matrix form analytical solution of the multi-dimensional generalized Langevin equation with quadratic potentials. Our investigation prov…
Quantum Quench dynamics in XY spin chain with ferromagnetic and antiferromagnetic interactions
Zhe Wang, Pan-Pan Fang, Yu-Liang Xu +4
In this manuscript we investigate the one-dimensional anisotropic XY model with ferromagnetic and antiferromagnetic interactions, which gives more interesting phase diagrams and dy…
Stochastic Equation of Motion Approach to Fermionic Dissipative Dynamics. I. Formalism
Lu Han, Arif Ullah, Yun-An Yan +3
In this work, we establish formally exact stochastic equations of motion (SEOM) theory to describe the dissipative dynamics of fermionic open systems. The construction of the SEOM…
Stochastic Equation of Motion Approach to Fermionic Dissipative Dynamics. II. Numerical Implementation
Arif Ullah, Lu Han, Yun-An Yan +3
This paper provides a detailed account of the numerical implementation of the stochastic equation of motion (SEOM) method for the dissipative dynamics of fermionic open quantum sys…
Stochastic Representation of Non-Markovian Fermionic Quantum Dissipation
Lu Han, Vladimir Chernyak, Yun-An Yan +2
Quantum Brownian motion plays a fundamental role in many areas of modern physics. In the path-integral formulation, the environmental quantum fluctuations driving the system dynami…
Universal local pair correlations of Lieb-Liniger bosons at quantum criticality
M. -S. Wang, J. -H. Huang, C. -H. Lee +3
The one-dimensional Lieb-Liniger Bose gas is a prototypical many-body system featuring universal Tomonaga-Luttinger liquid (TLL) physics and free fermion quantum criticality. We an…