One Component Dynamical Equation and Noise Induced Adiabaticity

Abstract

The adiabatic theorem addresses the dynamics of a target instantaneous eigenstate of a time-dependent Hamiltonian. We use a Feshbach P-Q partitioning technique to derive a closed one-component integro-differential equation. The resultant equation properly traces the footprint of the target eigenstate. The physical significance of the derived dynamical equation is illustrated by both general analysis and concrete examples. Surprisingly, we find an anomalous phenomenon showing that a dephasing white noise can enhance and even induce adiabaticity. This new phenomenon may naturally occur in many physical systems. We also show that white noises can also shorten the total duration of dynamic processes such as adiabatic quantum computing.

4 pages, 4 figures

References in corpus (7)

• Adiabatic approximation in open quantum systems
• The structure of preserved information in quantum processes
• Abelian and non-Abelian geometric phases in adiabatic open quantum systems
• Geometric Phase Gates with Adiabatic Control in Electron Spin Resonance
• Master Equation and Control of an Open Quantum System with Leakage
• Absolute negative mobility induced by white Poissonian noise
• Noise effects in perfect transmission of quantum states

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• Noise assisted quantum coherence protection in hierarchical environment
• Almost exact state transfer in a spin chain via pulse control
• An adiabatic Leakage Elimination Operator in experimental framework
• Accelerated adiabatic passage in cavity magnomechanics
• Experimental realization of noise-induced adiabaticity in nuclear magnetic resonance
• High-fidelity non-adiabatic cutting and stitching of a spin chain via local control
• Effect of Poisson noise on adiabatic quantum control
• Berry-phase-based quantum gates assisted by transitionless quantum driving
• Optically-mediated remote entanglement generation in magnon-cavity systems
• Hybrid noise protection of logical qubits for universal quantum computation
• Optimally controlled non-adiabatic quantum state transmission in the presence of quantum noise
• Nonperturbative leakage elimination for a logical qubit encoded in a mechanical oscillator