Dynamics of the geometric phase in the adiabatic limit of a quench induced quantum phase transition

2009/08/31 by B. Basu, Banasri Basu · 7 citations
Physics and Astronomy · #Adiabatic process #Condensed matter physics #Context (archaeology) #Geometric phase #Ground state #Magnetic field #Phase (matter) #Phase transition #Physics #Quantum #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Quantum phases #Topological Materials and Phenomena #quant-ph

paper · pdf · doi:10.1016/j.physleta.2009.12.072

published in Physics Letters A 374(10), 1205-1208 (Elsevier BV) · 5 pages, 1 eps fig. published version

openalex publication_date 2010/01/07 · arxiv created 2010/05/10 · arxiv updated 2015/05/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The geometric phase associated with a many body ground state exhibits a signature of quantum phase transition. In this context, we have studied the behaviour of the geometric phase during a linear quench caused by a gradual turning off of the magnetic field interacting with a spin chain.

Citations

• Geometric phases and entanglement of two qubits with XY type interaction
• Quantized Hall Conductance in a Two-Dimensional Periodic Potential
• Geometric phase and quantum phase transition: Two-band model
• Quantal phase factors accompanying adiabatic changes
• Topology of cosmic domains and strings

Cited by

• Quantum phases and dynamics of geometric phase in a quantum spin chain system under linear quench