scholarly journals Erratum: Doublon lifetimes in dissipative environments [Phys. Rev. B 96 , 045408 (2017)]

2019 ◽  
Vol 100 (16) ◽  
Author(s):  
M. Bello ◽  
G. Platero ◽  
S. Kohler
Keyword(s):  
Dissipative Environments

scholarly journals DISSIPATIVE QUANTUM DISORDERED MODELS

2006 ◽  
Vol 20 (19) ◽  
pp. 2795-2804 ◽  
Author(s):  
LETICIA F. CUGLIANDOLO
Keyword(s):  
Glassy Phase ◽  
Quantum Critical Point ◽  
Mean Field ◽  
Static Properties ◽  
One Dimensional ◽  
Time Dynamics ◽  
Long Range Interactions ◽  
Disordered Models ◽  
Different Types ◽  
Dissipative Environments

This article reviews recent studies of mean-field and one dimensional quantum disordered spin systems coupled to different types of dissipative environments. The main issues discussed are: (i) The real-time dynamics in the glassy phase and how they compare to the behaviour of the same models in their classical limit. (ii) The phase transition separating the ordered – glassy – phase from the disordered phase that, for some long-range interactions, is of second order at high temperatures and of first order close to the quantum critical point (similarly to what has been observed in random dipolar magnets). (iii) The static properties of the Griffiths phase in random king chains. (iv) The dependence of all these properties on the environment. The analytic and numeric techniques used to derive these results are briefly mentioned.

Non-Markovian effect of the fractional damping environment and Newton’s second law of motion

2018 ◽  
Vol 32 (19) ◽  
pp. 1850210
Author(s):  
Chun-Yang Wang ◽  
Zhao-Peng Sun ◽  
Ming Qin ◽  
Yu-Qing Xu ◽  
Shu-Qin Lv ◽  
...  
Keyword(s):  
Diffusion Process ◽  
Mean Square Displacement ◽  
Dynamical Analysis ◽  
Second Law ◽  
Mean Square ◽  
Fractional Damping ◽  
Dynamical Mechanism ◽  
Brownian Particles ◽  
The Mean ◽  
Dissipative Environments

We report, in this paper, a recent study on the dynamical mechanism of Brownian particles diffusing in the fractional damping environment, where several important quantities such as the mean square displacement (MSD) and mean square velocity are calculated for dynamical analysis. A particular type of backward motion is found in the diffusion process. The reason of it is analyzed intrinsically by comparing with the diffusion in various dissipative environments. Results show that the diffusion in the fractional damping environment obeys the Langevin dynamics which is quite different form what is expected.

ENTANGLEMENT DYNAMICS OF TWO QUBITS COUPLED TO SQUEEZED DISSIPATIVE ENVIRONMENTS

2010 ◽  
Vol 24 (26) ◽  
pp. 2635-2645
Author(s):  
CHUAN-JIA SHAN ◽  
TAO CHEN ◽  
JI-BING LIU ◽  
WEI-WEN CHENG ◽  
TANG-KUN LIU ◽  
...  
Keyword(s):  
Steady State ◽  
Sudden Death ◽  
Entangled States ◽  
Entanglement Sudden Death ◽  
Entanglement Dynamics ◽  
Initial Product ◽  
System Parameters ◽  
Initial States ◽  
Dissipative Environments ◽  
Degree Of Entanglement

By analytically solving the Lindblad form of the master equation, we investigate entanglement dynamics of two qubits coupled via the XY interaction, where each qubit is interacting with an independent reservoir with the squeezing parameters and squeezing angles. In the weak-squeezed reservoir, we show that the entanglement sudden death and entanglement sudden birth will happen for various entangled states. Some initial product states evolve into entangled ones, initially entangled states lose completely or partially their entanglement. The effects of varying the degree of entanglement of the initial states, the spin chain system parameters and different values of the degree of squeezing on the sudden death, revival and birth times are analyzed in detail. We also see that the steady state concurrence appears in the squeezed dissipative environments, which is affected by both the system parameters and the degree of squeezing.

scholarly journals Work and heat for two-level systems in dissipative environments: Strong driving and non-Markovian dynamics

2015 ◽  
Vol 91 (22) ◽  
Author(s):  
R. Schmidt ◽  
M. F. Carusela ◽  
J. P. Pekola ◽  
S. Suomela ◽  
J. Ankerhold
Keyword(s):  
Markovian Dynamics ◽  
Two Level Systems ◽  
Dissipative Environments

RELAXATION OF METASTABLE STATES BY QUANTUM FLUCTUATION

1999 ◽  
Vol 10 (08) ◽  
pp. 1419-1425
Author(s):  
S. MIYASHITA ◽  
K. SAITO
Keyword(s):  
Low Temperature ◽  
Numerical Method ◽  
Quantum Dynamics ◽  
Resonant Tunneling ◽  
Quantum Fluctuation ◽  
Metastable States ◽  
Magnetization Process ◽  
Tunneling Phenomena ◽  
Nonadiabatic Transitions ◽  
Dissipative Environments

An investigation for numerical method to study quantum dynamics in dissipative environments is presented, studying the resonant tunneling phenomena of the low temperature magnetization process of Mn 12. It is pointed out that information of pure quantum transition can be obtained from deceptive nonadiabatic transitions due to the dissipative environments.

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