scholarly journals Free energy distribution of the stationary O’Connell–Yor directed random polymer model

2017 ◽  
Vol 50 (28) ◽  
pp. 285203 ◽  
Author(s):  
Takashi Imamura ◽  
Tomohiro Sasamoto
Keyword(s):  
Free Energy ◽  
Energy Distribution ◽  
Polymer Model ◽  
Random Polymer

scholarly journals Transport exponents of states with large support

2019 ◽  
Vol 31 (09) ◽  
pp. 1950029
Author(s):  
Vitalii Gerbuz
Keyword(s):  
Time Evolution ◽  
Quantum States ◽  
Single Site ◽  
Finite Support ◽  
Polymer Model ◽  
One Dimensional ◽  
Random Polymer ◽  
Initial States ◽  
Spreading Rates

We investigate spreading rates of one-dimensional quantum states under the Schrödinger time-evolution. The focus of this paper is on the states that either have finite support or decay exponentially at [Formula: see text]. In particular, we extend results of Damanik and Tcheremchantsev on estimating transport exponents that were originally proved to hold for the initial states supported on a single site. These general upper and lower estimates are then applied to several classes of models, including Sturmian, quasi-periodic and substitution-generated potentials, and the random polymer model.

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