TY - JOUR
T1 - Quantum formation of topological defects
AU - Mukhopadhyay, Mainak
AU - Vachaspati, Tanmay
AU - Zahariade, George
N1 - Publisher Copyright:
© 2020 authors. Published by the American Physical Society.
PY - 2020/12/1
Y1 - 2020/12/1
N2 - We consider quantum phase transitions with global symmetry breakings that result in the formation of topological defects. We evaluate the number densities of kinks, vortices, and monopoles that are produced in d=1, 2, 3 spatial dimensions, respectively, and find that they scale as t-d/2 and evolve toward attractor solutions that are independent of the quench timescale. For d=1 our results apply in the region of parameters λτ/m≪1 where λ is the quartic self-interaction of the order parameter, τ is the quench timescale, and m is the mass parameter.
AB - We consider quantum phase transitions with global symmetry breakings that result in the formation of topological defects. We evaluate the number densities of kinks, vortices, and monopoles that are produced in d=1, 2, 3 spatial dimensions, respectively, and find that they scale as t-d/2 and evolve toward attractor solutions that are independent of the quench timescale. For d=1 our results apply in the region of parameters λτ/m≪1 where λ is the quartic self-interaction of the order parameter, τ is the quench timescale, and m is the mass parameter.
UR - http://www.scopus.com/inward/record.url?scp=85103672747&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85103672747&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.102.116002
DO - 10.1103/PhysRevD.102.116002
M3 - Article
AN - SCOPUS:85103672747
SN - 2470-0010
VL - 102
JO - Physical Review D
JF - Physical Review D
IS - 11
M1 - 116002
ER -