scholarly journals Dynamical topological order parameters far from equilibrium

2016 ◽  
Vol 93 (8) ◽  
Author(s):  
Jan Carl Budich ◽  
Markus Heyl
Keyword(s):  
Order Parameters ◽  
Topological Order ◽  
Far From Equilibrium

scholarly journals Geometric phases for mixed states of the Kitaev chain

2016 ◽  
Vol 374 (2068) ◽  
pp. 20150231 ◽  
Author(s):  
Ole Andersson ◽  
Ingemar Bengtsson ◽  
Marie Ericsson ◽  
Erik Sjöqvist
Keyword(s):  
Finite Temperature ◽  
Geometric Phase ◽  
Berry Phase ◽  
Condensed Matter ◽  
Order Parameters ◽  
Topological Order ◽  
Mixed States ◽  
Geometric Phases

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.

scholarly journals From D = 3 to D = 2 dimensions: A note on topological order

2021 ◽  
pp. 2150163
Author(s):  
C. D. Fosco ◽  
F. A. Schaposnik
Keyword(s):  
Dimensional Reduction ◽  
Order Parameters ◽  
Effective Theory ◽  
Simons Theory ◽  
Topological Order ◽  
Complex Order ◽  
Two Phases ◽  
Chern Simons ◽  
Chern Simons Theory

We construct, by a procedure involving a dimensional reduction from a Chern–Simons theory with borders, an effective theory for (1 + 1)-dimensional superconductor. That system can be in either an ordinary phase or a topological one, depending on the value of two phases, associated to complex order parameters.

Phase transitions with coupled order parameters

1981 ◽  
Vol 133 (1) ◽  
pp. 103 ◽  
Author(s):  
M.A. Anisimov ◽  
E.E. Gorodetskii ◽  
V.M. Zaprudskii
Keyword(s):  
Phase Transitions ◽  
Order Parameters
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