Quantum Master Equation for the Time-Periodic Density Operator of a Single Qubit Coupled to a Harmonic Oscillator

2020 ◽  
pp. 271-281
Author(s):  
C. Quintana ◽  
P. Jiménez-Macías ◽  
O. Rosas-Ortiz
Keyword(s):  
Harmonic Oscillator ◽  
Master Equation ◽  
Density Operator ◽  
Quantum Master Equation ◽  
Single Qubit ◽  
Time Periodic

scholarly journals Reading a Qubit Quantum State with a Quantum Meter: Time Unfolding of Quantum Darwinism and Quantum Information Flux

2019 ◽  
Vol 26 (04) ◽  
pp. 1950023
Author(s):  
Salvatore Lorenzo ◽  
Mauro Paternostro ◽  
G. Massimo Palma
Keyword(s):  
Quantum Information ◽  
Harmonic Oscillator ◽  
Quantum System ◽  
Quantum State ◽  
Common Theme ◽  
Quantum Harmonic Oscillator ◽  
Collision Model ◽  
Single Qubit ◽  
Quantum Darwinism

Quantum non-Markovianity and quantum Darwinism are two phenomena linked by a common theme: the flux of quantum information between a quantum system and the quantum environment it interacts with. In this work, making use of a quantum collision model, a formalism initiated by Sudarshan and his school, we will analyse the efficiency with which the information about a single qubit gained by a quantum harmonic oscillator, acting as a meter, is transferred to a bosonic environment. We will show how, in some regimes, such quantum information flux is inefficient, leading to the simultaneous emergence of non-Markovian and non-darwinistic behaviours.

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.

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