Effective two-level reduction of N-level system dissipative quantum dynamics

1990 ◽  
Vol 141 (2-3) ◽  
pp. 249-259 ◽  
Author(s):  
Pavol Banacky
Keyword(s):  
Quantum Dynamics ◽  
Level System ◽  
N Level ◽  
Level Reduction

scholarly journals Observation and quantification of the quantum dynamics of a strong-field excited multi-level system

2017 ◽  
Vol 7 (1) ◽  
Author(s):  
Zuoye Liu ◽  
Quanjun Wang ◽  
Jingjie Ding ◽  
Stefano M. Cavaletto ◽  
Thomas Pfeifer ◽  
...  
Keyword(s):  
Quantum Dynamics ◽  
Strong Field ◽  
Level System ◽  
Multi Level

scholarly journals Quantum dynamics of a microwave driven superconducting phase qubit coupled to a two-level system

2010 ◽  
Vol 82 (13) ◽  
Author(s):  
Guozhu Sun ◽  
Xueda Wen ◽  
Bo Mao ◽  
Zhongyuan Zhou ◽  
Yang Yu ◽  
...  
Keyword(s):  
Quantum Dynamics ◽  
Superconducting Phase ◽  
Level System ◽  
Phase Qubit

scholarly journals Thermal inclusions: how one spin can destroy a many-body localized phase

2017 ◽  
Vol 375 (2108) ◽  
pp. 20160428 ◽  
Author(s):  
Pedro Ponte ◽  
C. R. Laumann ◽  
David A. Huse ◽  
A. Chandran
Keyword(s):  
Random Fields ◽  
Quantum Dynamics ◽  
Quantum Systems ◽  
Spin Model ◽  
Single Site ◽  
Level System ◽  
Many Body ◽  
Discontinuous Transition ◽  
Logarithmic Corrections ◽  
Basic Features

Many-body localized (MBL) systems lie outside the framework of statistical mechanics, as they fail to equilibrate under their own quantum dynamics. Even basic features of MBL systems, such as their stability to thermal inclusions and the nature of the dynamical transition to thermalizing behaviour, remain poorly understood. We study a simple central spin model to address these questions: a two-level system interacting with strength J with N ≫1 localized bits subject to random fields. On increasing J , the system transitions from an MBL to a delocalized phase on the vanishing scale J c ( N )∼1/ N , up to logarithmic corrections. In the transition region, the single-site eigenstate entanglement entropies exhibit bimodal distributions, so that localized bits are either ‘on’ (strongly entangled) or ‘off’ (weakly entangled) in eigenstates. The clusters of ‘on’ bits vary significantly between eigenstates of the same sample, which provides evidence for a heterogeneous discontinuous transition out of the localized phase in single-site observables. We obtain these results by perturbative mapping to bond percolation on the hypercube at small J and by numerical exact diagonalization of the full many-body system. Our results support the arguments that the MBL phase is unstable in systems with short-range interactions and quenched randomness in dimensions d that are high but finite. This article is part of the themed issue ‘Breakdown of ergodicity in quantum systems: from solids to synthetic matter’.

scholarly journals Simulation of Quantum Dynamics Based on the Quantum Stochastic Differential Equation

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Ming Li
Keyword(s):  
Differential Equation ◽  
Stochastic Differential Equation ◽  
Quantum Dynamics ◽  
Dynamical Behavior ◽  
Computational Cost ◽  
Quantum Master Equation ◽  
Level System ◽  
Quantum Stochastic Differential Equation ◽  
State Diffusion ◽  
Quantum State Diffusion

The quantum stochastic differential equation derived from the Lindblad form quantum master equation is investigated. The general formulation in terms of environment operators representing the quantum state diffusion is given. The numerical simulation algorithm of stochastic process of direct photodetection of a driven two-level system for the predictions of the dynamical behavior is proposed. The effectiveness and superiority of the algorithm are verified by the performance analysis of the accuracy and the computational cost in comparison with the classical Runge-Kutta algorithm.

scholarly journals Intuitionistic Quantum Logic of an n-level System

2009 ◽  
Vol 39 (7) ◽  
pp. 731-759 ◽  
Author(s):  
Martijn Caspers ◽  
Chris Heunen ◽  
Nicolaas P. Landsman ◽  
Bas Spitters
Keyword(s):  
Quantum Logic ◽  
Level System ◽  
N Level
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