TY - JOUR
T1 - Dynamically induced topology and quantum monodromies in a proximity quenched gapless wire
AU - Dahan, D.
AU - Grosfeld, E.
AU - Seradjeh, B.
N1 - Funding Information:
D.D. and E.G. acknowledge useful discussions with D. Ariad, D. Cohen, M. Schechter, and E. Sela. B.S. acknowledges useful conversations with M. Kolodrubetz. D.D. and E.G. acknowledge support from the Israel Science Foundation under Grant No. 1626/16. E.G. and B.S. acknowledge support from the Binational Science Foundation through Grant No. 2014345. This work is supported in part by the NSF CAREER Grant No. DMR-1350663, Indiana University Center for Spacetime Symmetries, Indiana University Quantum Science and Engineering Center, the College of Arts and Sciences at Indiana University, and it was performed in part at the Aspen Center for Physics, supported by the NSF Grant No. PHY-1607611.
Publisher Copyright:
© 2020 American Physical Society.
PY - 2020/9/24
Y1 - 2020/9/24
N2 - We study the quench dynamics of a topologically trivial one-dimensional gapless wire following its sudden coupling to topological bound states. We find that as the bound states leak into and propagate through the wire, signatures of their topological nature survive and remain measurable over a long lifetime. Thus, the quench dynamically induces topological properties in the gapless wire. Specifically, we study a gapless wire coupled to fractionally charged solitons or Majorana fermions, and we characterize the dynamically induced topology in the wire, in the presence of coupling to the bath, disorder, and short-range interactions, by analytical and numerical calculations of the dynamics of fractional charge, fermion parity, entanglement entropy, and fractional exchange statistics. In a dual effective description, this phenomenon is described by correlators of boundary changing operators, which, remarkably, generate topologically nontrivial monodromies in the gapless wire, both for Abelian and non-Abelian quantum statistics of the bound states.
AB - We study the quench dynamics of a topologically trivial one-dimensional gapless wire following its sudden coupling to topological bound states. We find that as the bound states leak into and propagate through the wire, signatures of their topological nature survive and remain measurable over a long lifetime. Thus, the quench dynamically induces topological properties in the gapless wire. Specifically, we study a gapless wire coupled to fractionally charged solitons or Majorana fermions, and we characterize the dynamically induced topology in the wire, in the presence of coupling to the bath, disorder, and short-range interactions, by analytical and numerical calculations of the dynamics of fractional charge, fermion parity, entanglement entropy, and fractional exchange statistics. In a dual effective description, this phenomenon is described by correlators of boundary changing operators, which, remarkably, generate topologically nontrivial monodromies in the gapless wire, both for Abelian and non-Abelian quantum statistics of the bound states.
UR - http://www.scopus.com/inward/record.url?scp=85092925821&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.102.125142
DO - 10.1103/PhysRevB.102.125142
M3 - Article
AN - SCOPUS:85092925821
VL - 102
JO - Physical Review B
JF - Physical Review B
SN - 2469-9950
IS - 12
M1 - 125142
ER -