Small Matrix Path Integral for Driven Dissipative Dynamics

2021 ◽  
Author(s):  
Nancy Makri
Keyword(s):  
Path Integral ◽  
Dissipative Dynamics ◽  
Small Matrix

Small matrix modular path integral: iterative quantum dynamics in space and time

2021 ◽  
Author(s):  
Nancy Makri
Keyword(s):  
Path Integral ◽  
Quantum Dynamics ◽  
Matrix Decomposition ◽  
Propagation Time ◽  
Molecular Aggregates ◽  
Space And Time ◽  
Small Matrix

This work presents a small matrix decomposition of the modular path integral for spin arrays or molecular aggregates, which leads to an iterative treatment with respect to the units that comprise the system and the propagation time.

Path-integral expression of dissipative dynamics

1981 ◽  
Vol 83 (5) ◽  
pp. 203-206 ◽  
Author(s):  
P. Exner ◽  
G.I. Kolerov
Keyword(s):  
Path Integral ◽  
Integral Expression ◽  
Dissipative Dynamics

QUANTUM BROWNIAN MOTION IN A PERIODIC POTENTIAL: THE PATH INTEGRAL FOR A SUPER-OHMIC BATH

2012 ◽  
Vol 11 (01) ◽  
pp. 1240006
Author(s):  
M. ARRAYÁS
Keyword(s):  
Brownian Motion ◽  
Path Integral ◽  
Periodic Potential ◽  
Brownian Particle ◽  
Path Integrals ◽  
Quantum Brownian Motion ◽  
Dissipative Dynamics ◽  
Influence Functional

The problem of a Brownian particle in a super-Ohmic bath under the effect of a periodic tilted potential is studied. The quantum dissipative dynamics is formulated in terms of the influence functional and the path integrals are calculated explicitly and analytically.

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