Geometric phases induced in auxiliary qubits by many-body systems near its critical points

Abstract

The geometric phase induced in an auxiliary qubit by a many-body system is calculated and discussed. Two kinds of coupling between the auxiliary qubit and the many-body system are considered, which lead to dephasing and dissipation in the qubit, respectively. As an example, we consider the XY spin-chain dephasingly couple to a qubit, the geometric phase induced in the qubit is presented and discussed. The results show that the geometric phase might be used to signal the critical points of the many-body system, and it tends to zero with the parameters of the many-body system going away from the critical points.

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Cited by in corpus (16)

• Geometry of quantum phase transitions
• Geometric phase with nonunitary evolution in presence of a quantum critical bath
• Quantum Fidelity and Thermal Phase Transitions
• Geometric phases and quantum phase transitions
• Conventional quantum phase transition driven by complex parameter in non-Hermitian PT-symmetric Ising model
• Geometric phase and quantum phase transition in an inhomogeneous periodic XY spin-1/2 model
• Geometric phase of a quantum dot system in nonunitary evolution
• Spin bath interactions effects on the geometric phase
• Geometric phase and phase diagram for non-Hermitian quantum XY model
• Geometry of quantum evolution in a nonequilibrium environment
• Geometric phase of a central spin coupled to an antiferromagnetic environment
• Universal single-qubit non-adiabatic holonomic quantum gates in optomechanical system
• Landau-Zener transition of a two-level system driven by spin chains near their critical points
• Preservation of quantum Fisher information and geometric phase of a single qubit system in a dissipative reservoir through the addition of qubits
• Dynamics of geometric phase in the adiabatic limit of quantum phase transition
• Quantum phase transition without gap opening