TY - JOUR
T1 - Topological phase transitions induced by varying topology and boundaries in the toric code
AU - Jamadagni, Amit
AU - Bhattacharyya, Arpan
N1 - Publisher Copyright:
© 2021 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft.
PY - 2021/10
Y1 - 2021/10
N2 - One of the important characteristics of topological phases of matter is the topology of the underlying manifold on which they are defined. In this paper, we present the sensitivity of such phases of matter to the underlying topology, by studying the phase transitions induced due to the change in the boundary conditions. We claim that these phase transitions are accompanied by broken symmetries in the excitation space and to gain further insight we analyze various signatures like the ground state degeneracy, topological entanglement entropy while introducing the open-loop operator whose expectation value effectively captures the phase transition. Further, we extend the analysis to an open quantum setup by defining effective collapse operators, the dynamics of which cool the system to distinct steady states both of which are topologically ordered. We show that the phase transition between such steady states is effectively captured by the expectation value of the open-loop operator.
AB - One of the important characteristics of topological phases of matter is the topology of the underlying manifold on which they are defined. In this paper, we present the sensitivity of such phases of matter to the underlying topology, by studying the phase transitions induced due to the change in the boundary conditions. We claim that these phase transitions are accompanied by broken symmetries in the excitation space and to gain further insight we analyze various signatures like the ground state degeneracy, topological entanglement entropy while introducing the open-loop operator whose expectation value effectively captures the phase transition. Further, we extend the analysis to an open quantum setup by defining effective collapse operators, the dynamics of which cool the system to distinct steady states both of which are topologically ordered. We show that the phase transition between such steady states is effectively captured by the expectation value of the open-loop operator.
KW - dissipative phase transitions
KW - open quantum systems
KW - topological phase transitions
UR - http://www.scopus.com/inward/record.url?scp=85117605838&partnerID=8YFLogxK
U2 - 10.1088/1367-2630/ac27e3
DO - 10.1088/1367-2630/ac27e3
M3 - Article
AN - SCOPUS:85117605838
SN - 1367-2630
VL - 23
JO - New Journal of Physics
JF - New Journal of Physics
IS - 10
M1 - 103001
ER -