Abstract
We consider a topological superconducting wire and use the string order parameter to investigate the spatiotemporal evolution of the topological order upon a quantum quench across the critical point. We also analyze the propagation of the initially localized Majorana bound states after the quench, in order to examine the connection between the topological order and the unpaired Majorana states, which has been well established at equilibrium but remains illusive in dynamical situations. It is found that after the quench the string order parameters decay over a finite time and that the decaying behavior is universal, independent of the wire length and the final value of the chemical potential (the quenching parameter). It is also found that the topological order is revived repeatedly although the amplitude gradually decreases. Further, the topological order can propagate into the region which was initially in the nontopological state. It is observed that all these behaviors are in parallel and consistent with the propagation and dispersion of the Majorana wave functions. Finally, we propose local probing methods which can measure the nonlocal topological order.
| Original language | English |
|---|---|
| Article number | 063004 |
| Journal | New Journal of Physics |
| Volume | 18 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 2016 Jun 1 |
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Keywords
- Majorana Fermion
- quantum quenching
- string order parameter
- topological order
- topological phase transition
- topological superconductor
ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Spatiotemporal evolution of topological order upon quantum quench across the critical point. / Lee, Minchul; Han, Seungju; Choi, Mahn-Soo.
In: New Journal of Physics, Vol. 18, No. 6, 063004, 01.06.2016.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Spatiotemporal evolution of topological order upon quantum quench across the critical point
AU - Lee, Minchul
AU - Han, Seungju
AU - Choi, Mahn-Soo
PY - 2016/6/1
Y1 - 2016/6/1
N2 - We consider a topological superconducting wire and use the string order parameter to investigate the spatiotemporal evolution of the topological order upon a quantum quench across the critical point. We also analyze the propagation of the initially localized Majorana bound states after the quench, in order to examine the connection between the topological order and the unpaired Majorana states, which has been well established at equilibrium but remains illusive in dynamical situations. It is found that after the quench the string order parameters decay over a finite time and that the decaying behavior is universal, independent of the wire length and the final value of the chemical potential (the quenching parameter). It is also found that the topological order is revived repeatedly although the amplitude gradually decreases. Further, the topological order can propagate into the region which was initially in the nontopological state. It is observed that all these behaviors are in parallel and consistent with the propagation and dispersion of the Majorana wave functions. Finally, we propose local probing methods which can measure the nonlocal topological order.
AB - We consider a topological superconducting wire and use the string order parameter to investigate the spatiotemporal evolution of the topological order upon a quantum quench across the critical point. We also analyze the propagation of the initially localized Majorana bound states after the quench, in order to examine the connection between the topological order and the unpaired Majorana states, which has been well established at equilibrium but remains illusive in dynamical situations. It is found that after the quench the string order parameters decay over a finite time and that the decaying behavior is universal, independent of the wire length and the final value of the chemical potential (the quenching parameter). It is also found that the topological order is revived repeatedly although the amplitude gradually decreases. Further, the topological order can propagate into the region which was initially in the nontopological state. It is observed that all these behaviors are in parallel and consistent with the propagation and dispersion of the Majorana wave functions. Finally, we propose local probing methods which can measure the nonlocal topological order.
KW - Majorana Fermion
KW - quantum quenching
KW - string order parameter
KW - topological order
KW - topological phase transition
KW - topological superconductor
UR - http://www.scopus.com/inward/record.url?scp=84976871184&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84976871184&partnerID=8YFLogxK
U2 - 10.1088/1367-2630/18/6/063004
DO - 10.1088/1367-2630/18/6/063004
M3 - Article
AN - SCOPUS:84976871184
VL - 18
JO - New Journal of Physics
JF - New Journal of Physics
SN - 1367-2630
IS - 6
M1 - 063004
ER -