[PDF] Top 20 Bose polaron as an instance of quantum Brownian motion

... a quantum impu- rity immersed in a Bose-Einstein condensate as an open quantum system in the framework of the quantum Brownian motion ...the quantum gas, and thus depend ... See full document

... and quantum physics, ap- pearing in a plethora of various systems [1, ...paradigmatic instance of a highly con- trolled system is that of a Bose Einstein Condensate ... See full document

... the quantum analog of the Liouville equation for a spin, which in this instance is the same as the classical case just as the corresponding result for particles with quadratic Hamiltonians, while the right ... See full document

... Another situation of interest in the multivariate setting is one where we wish to test simultaneously for more than one effect. This situation can come under one of two headings. The first, analogous to an analysis of ... See full document

... diffusion on the set S. First note that, by applying results of [18], a Dirichlet form can be constructed on any compact real tree equipped with a suitable Borel measure, and following the arguments of [9], Section 8, it ... See full document

... hard [1, 2] to estimate the integrated volatility in some stochastic volatility models used in quantitative finance and also, under an appropriate modification, to estimate the jumps of the processes under analysis. The ... See full document

... on solutions are obtained as the analytical expressions in accordance with the experimental results [10]. In the present study, the concentration profile of the two or three dimensional case was also obtained as the ... See full document

... time-change Brownian motion (In other words, there exists increasing function  : [0, )   [0, )  such that X f  is a Brownian motion) and each left-neighborhood generated by A ss is of the ... See full document

... of Brownian motion and its stochastic areas, and shown how in the planar case one can use Dufresne’s formula to derive asymptotics of coupling time distributions for suitable mixed ...the Brownian ... See full document

... The large-probe slow mode describes the motion of probes on a time scale so long that the system has relaxed completely and behaves as a viscous liquid. The large probe slow mode dynamics is seen to obey the ... See full document

... Example 4 For a qualitative picture of the behaviour of the above estimates, fix x ∈ M and consider the case in which X(x) is a Brownian motion starting at x. Denote by R the infimum of the Ricci curvature ... See full document

... large polaron consists of a broad featureless asymmetric band with a long tail extended to the short-wave length ...large polaron in crystal as a func- tion of phonon ...thermal motion of free ... See full document

... We discuss here a question tackled in [22]; this consists of determining a necessary and sufficient condition for the existence of transforms of the form (1.1) or (1.2) with an infinite dimensional orthogonal complement ... See full document

... The importance of fractional Brownian motionfor dimensioningbuers in telecom- municationsnetworks has been rst stressed by Norros in 25]. Since then, numerous studies have been done on the subject (cf. 26, 12, ... See full document

... DWS measurements were also performed on other complex fluids, such as emulsions, 33-35 and cross-linked polymer gels 36-38 to study the high-frequency dynamics. Eliot et al. studied the heat-induced gelation of caseinate ... See full document

... University of Warwick institutional repository: http://go.warwick.ac.uk/wrap A Thesis Submitted for the Degree of PhD at the University of Warwick http://go.warwick.ac.uk/wrap/3949 This [r] ... See full document

... A system of coalescing Brownian motions is a collection of paths, where each path behaves as a Brownian motion independent of all other paths until the first time two paths meet, at whic[r] ... See full document

... The remainder of the paper is organized as follows. In Section 2 we summarize the deterministic model on which our stochastic model is built. In Section 3 we develop the stochastic version of the dynamic Cournot model by ... See full document

... the quantum generalization of the Kramers escape rate theory and its various extensions to the turnover region as applied to the cosine ...semiclassical quantum master equa- tion allows one to accurately ... See full document

... Now, all of the above time evolution equations for the reduced density operator may be equivalently treated using the Wigner-Moyal phase space representation of quantum me­ chanics, thus[r] ... See full document