scholarly journals Eigenvalues of the Liouvillians of quantum master equation for a harmonic oscillator

2020 ◽  
Vol 556 ◽  
pp. 124768
Author(s):  
B.A. Tay
Keyword(s):  
Harmonic Oscillator ◽  
Master Equation ◽  
Quantum Master Equation

scholarly journals QUANTIZATION OF THE TOPOLOGICAL σ-MODEL AND THE MASTER EQUATION OF THE BV FORMALISM

1994 ◽  
Vol 09 (06) ◽  
pp. 491-500 ◽  
Author(s):  
S. AOYAMA
Keyword(s):  
Phase Space ◽  
Master Equation ◽  
Symplectic Structure ◽  
Kähler Manifold ◽  
Quantum Master Equation ◽  
Kahler Manifold ◽  
Invariant States

We quantize the topological σ-model. The quantum master equation of the Batalin-Vilkovisky formalism ΔρΨ=0 appears as a condition which eliminates the exact states from the BRST invariant states Ψ defined by QΨ=0. The phase space of the BV formalism is a supermanifold with a specific symplectic structure, called the fermionic Kähler manifold.

scholarly journals Quantum measurement of a solid-state qubit: A unified quantum master equation approach

2004 ◽  
Vol 69 (8) ◽  
Author(s):  
Xin-Qi Li ◽  
Wen-Kai Zhang ◽  
Ping Cui ◽  
Jiushu Shao ◽  
Zhongshui Ma ◽  
...  
Keyword(s):  
Solid State ◽  
Master Equation ◽  
Quantum Measurement ◽  
Quantum Master Equation ◽  
Equation Approach ◽  
Master Equation Approach

Neural network representation and optimization of thermoelectric states of multiple interacting quantum dots

2020 ◽  
Vol 22 (28) ◽  
pp. 16165-16173
Author(s):  
Hangbo Zhou ◽  
Gang Zhang ◽  
Yong-Wei Zhang
Keyword(s):  
Neural Network ◽  
Machine Learning ◽  
Quantum Dots ◽  
Seebeck Coefficient ◽  
Master Equation ◽  
Thermoelectric Properties ◽  
Electrical Conductance ◽  
Thermal Conductance ◽  
Quantum Master Equation ◽  
Network Representation

We perform quantum master equation calculations and machine learning to investigate the thermoelectric properties of multiple interacting quantum dots, including electrical conductance, Seebeck coefficient, thermal conductance and ZT.

scholarly journals Time-dependent Markovian quantum master equation

2018 ◽  
Vol 98 (5) ◽  
Author(s):  
Roie Dann ◽  
Amikam Levy ◽  
Ronnie Kosloff
Keyword(s):  
Master Equation ◽  
Time Dependent ◽  
Quantum Master Equation

Solvability of the Caldeira–Leggett model

2020 ◽  
Vol 98 (7) ◽  
pp. 683-688
Author(s):  
Smail Bougouffa ◽  
Lazhar Bougoffa
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Differential Equations ◽  
Harmonic Oscillator ◽  
Master Equation ◽  
Wigner Distribution ◽  
Partial Differential ◽  
Coupled Differential Equations

In this paper, we illustrate the use of the method of the characteristics in various dissipative models of a single harmonic oscillator. The master equation governing the process can be transformed to a partial differential equation on the Wigner distribution, which in turn can be split to a system of coupled differential equations. We present a useful technique that can be used to separate the system without increasing the order and then the solutions can be obtained. The obtained solutions are used to calculate the average of energy observable of the system. This procedure can be extended to solve some other complex similar problems.

scholarly journals Regularized quantum master equation in the wilsonian

2001 ◽  
Vol 2001 (10) ◽  
pp. 032-032 ◽  
Author(s):  
Yuji Igarashi ◽  
Katsumi Itoh ◽  
Hiroto So
Keyword(s):  
Master Equation ◽  
Quantum Master Equation
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