The stability of the time‐reversal process in a fluctuating ocean

2003 ◽  
Vol 114 (4) ◽  
pp. 2402-2402
Author(s):  
G. F. Edelmann ◽  
S. Kim ◽  
W. S. Hodgkiss ◽  
W. A. Kuperman ◽  
H. C. Song
2021 ◽  
Vol 11 (1) ◽  
Author(s):  
I. V. Yurkevich ◽  
V. Kagalovsky

AbstractWe study the stability of multiple conducting edge states in a topological insulator against perturbations allowed by the time-reversal symmetry. A system is modeled as a multi-channel Luttinger liquid, with the number of channels equal to the number of Kramers doublets at the edge. Assuming strong interactions and weak disorder, we first formulate a low-energy effective theory for a clean translation invariant system and then include the disorder terms allowed by the time-reversal symmetry. In a clean system with N Kramers doublets, N − 1 edge states are gapped by Josephson couplings and the single remaining gapless mode describes collective motion of Cooper pairs synchronous across the channels. Disorder perturbation in this regime, allowed by the time reversal symmetry is a simultaneous backscattering of particles in all N channels. Its relevance depends strongly on the parity if the number of channel N is not very large. Our main result is that disorder becomes irrelevant with the increase of the number of edge modes leading to the stability of the edge states superconducting regime even for repulsive interactions.


2008 ◽  
Vol 123 (5) ◽  
pp. 3184-3184
Author(s):  
Brian E. Anderson ◽  
Michele Griffa ◽  
Paul A. Johnson

2005 ◽  
Vol 117 (4) ◽  
pp. 2560-2560 ◽  
Author(s):  
Ros K. Ing ◽  
Nicolas Quieffin ◽  
Stefan Catheline ◽  
Mathias Fink

Author(s):  
Arseni Goussev ◽  
Rodolfo A. Jalabert ◽  
Horacio M. Pastawski ◽  
Diego A. Wisniacki

Echoes are ubiquitous phenomena in several branches of physics, ranging from acoustics, optics, condensed matter and cold atoms to geophysics. They are at the base of a number of very useful experimental techniques, such as nuclear magnetic resonance, photon echo and time-reversal mirrors. Particularly interesting physical effects are obtained when the echo studies are performed on complex systems, either classically chaotic, disordered or many-body. Consequently, the term Loschmidt echo has been coined to designate and quantify the revival occurring when an imperfect time-reversal procedure is applied to a complex quantum system, or equivalently to characterize the stability of quantum evolution in the presence of perturbations. Here, we present the articles which discuss the work that has shaped the field in the past few years.


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