scholarly journals Emergent anomalous higher symmetries from topological order and from dynamical electromagnetic field in condensed matter systems

2019 ◽  
Vol 99 (20) ◽  
Author(s):  
Xiao-Gang Wen
10.1142/0881 ◽  
1990 ◽  
Author(s):  
N N Bogolubov ◽  
A S Shumovsky ◽  
V I Yukalov

Author(s):  
Ole Andersson ◽  
Ingemar Bengtsson ◽  
Marie Ericsson ◽  
Erik Sjöqvist

The Berry phase has found applications in building topological order parameters for certain condensed matter systems. The question whether some geometric phase for mixed states can serve the same purpose has been raised, and proposals are on the table. We analyse the intricate behaviour of Uhlmann's geometric phase in the Kitaev chain at finite temperature, and then argue that it captures quite different physics from that intended. We also analyse the behaviour of a geometric phase introduced in the context of interferometry. For the Kitaev chain, this phase closely mirrors that of the Berry phase, and we argue that it merits further investigation.


2019 ◽  
Vol 24 (2) ◽  
pp. 66
Author(s):  
Gilberto M. Nakamura ◽  
Brenno Cabella ◽  
Alexandre S. Martinez

Superradiance describes the coherent collective radiation caused by the interaction between many emitters, mediated by a shared electromagnetic field. Recent experiments involving Bose–Einstein condensates coupled to high-finesse cavities and interacting quantum dots in condensed-matter have attracted attention to the superradiant regime as a fundamental step to create quantum technologies. Here, we consider a simplified description of superradiance that allows the evaluation of statistical moments. A correspondence with the classical birthday problem recovers the statistical moments for discrete time and an arbitrary number of emitters. In addition, the correspondence provides a way to calculate the degeneracy of the problem.


2000 ◽  
Vol 62 (19) ◽  
pp. 13070-13075 ◽  
Author(s):  
Douglas Singleton ◽  
Jerzy Dryzek

Author(s):  
R. H. Ritchie ◽  
A. Howie

An important part of condensed matter physics in recent years has involved detailed study of inelastic interactions between swift electrons and condensed matter surfaces. Here we will review some aspects of such interactions.Surface excitations have long been recognized as dominant in determining the exchange-correlation energy of charged particles outside the surface. Properties of surface and bulk polaritons, plasmons and optical phonons in plane-bounded and spherical systems will be discussed from the viewpoint of semiclassical and quantal dielectric theory. Plasmons at interfaces between dissimilar dielectrics and in superlattice configurations will also be considered.


Author(s):  
Jan Zaanen ◽  
Yan Liu ◽  
Ya-Wen Sun ◽  
Koenraad Schalm

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