TY - JOUR
T1 - Time evolution and dynamical phase transitions at a critical time in a system of one-dimensional bosons after a quantum quench
AU - Mitra, Aditi
N1 - Copyright:
Copyright 2013 Elsevier B.V., All rights reserved.
PY - 2012/12/26
Y1 - 2012/12/26
N2 - A renormalization group approach is used to show that a one-dimensional system of bosons subject to a lattice quench exhibits a finite-time dynamical phase transition where an order parameter within a light cone increases as a nonanalytic function of time after a critical time. Such a transition is also found for a simultaneous lattice and interaction quench where the effective scaling dimension of the lattice becomes time dependent, crucially affecting the time evolution of the system. Explicit results are presented for the time evolution of the boson interaction parameter and the order parameter for the dynamical transition as well as for more general quenches.
AB - A renormalization group approach is used to show that a one-dimensional system of bosons subject to a lattice quench exhibits a finite-time dynamical phase transition where an order parameter within a light cone increases as a nonanalytic function of time after a critical time. Such a transition is also found for a simultaneous lattice and interaction quench where the effective scaling dimension of the lattice becomes time dependent, crucially affecting the time evolution of the system. Explicit results are presented for the time evolution of the boson interaction parameter and the order parameter for the dynamical transition as well as for more general quenches.
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U2 - 10.1103/PhysRevLett.109.260601
DO - 10.1103/PhysRevLett.109.260601
M3 - Article
AN - SCOPUS:84871781935
VL - 109
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 26
M1 - 260601
ER -