Study of Loschmidt Echo for a qubit coupled to an XY-spin chain environment

Abstract

We study the temporal evolution of a central spin-1/2 (qubit) coupled to the environment which is chosen to be a spin-1/2 transverse XY spin chain. We explore the entire phase diagram of the spin-Hamiltonian and investigate the behavior of Loschmidt echo(LE) close to critical and multicritical point(MCP). To achieve this, the qubit is coupled to the spin chain through the anisotropy term as well as one of the interaction terms. Our study reveals that the echo has a faster decay with the system size (in the short time limit) close to a MCP and also the scaling obeyed by the quasiperiod of the collapse and revival of the LE is different in comparison to that close to a QCP. We also show that even when approached along the gapless critical line, the scaling of the LE is determined by the MCP where the energy gap shows a faster decay with the system size. This claim is verified by studying the short-time and also the collapse and revival behavior of the LE at a quasicritical point on the ferromagnetic side of the MCP. We also connect our observation to the decoherence of the central spin.

Accepted for publication in EPJB

References in corpus (12)

• Quantum discord and quantum phase transition in spin chains
• Decoherence induced by interacting quantum spin baths
• Quenching Dynamics of a quantum XY spin-1/2 chain in presence of a transverse field
• Dynamical non-ergodic scaling in continuous finite-order quantum phase transitions
• Direct observation of quantum criticality in Ising spin chains
• Universal decoherence induced by an environmental quantum phase transition
• Quenching along a gapless line: A different exponent for defect density
• Defect production due to quenching through a multicritical point
• Oscillating fidelity susceptibility near a quantum multicritical point
• Decoherence induced by a dynamic spin environment (I): The universal regime
• Adiabatic multicritical quantum quenches: Continuously varying exponents depending on the direction of quenching
• Vanishing environment-induced decoherence

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