Simultaneous control of populations and coherence phase of open two-level quantum systems with a single pulse

Abstract

We address the control of the dynamics of both population and coherence phase in an open two-level quantum system employing a single external control field. The system dynamics is described by a Markovian master equation that takes into account dephasing and thermal noise. The control is engineered by inverting the underlying equations of motion, which yields an analytical expression for the control field in terms of user-specified time-dependent functions for the population and coherence phase. Our approach allows to dictate not only the initial and final populations and phases, but the full dynamics of these quantities. The chosen functions for population and phase have to conform to certain constraints indicated in our analysis. Our methodology also reveals the possible transitions for given initial conditions and environmental noise parameters.

References in corpus (23)

• NMR Techniques for Quantum Control and Computation
• Control of quantum phenomena: Past, present, and future
• Observing single quantum trajectories of a superconducting qubit
• Controlling open quantum systems: Tools, achievements, and limitations
• Ultrafast Gates for Single Atomic Qubits
• Time-optimal control of a two-level dissipative quantum system
• Signatures of two-photon pulses from a quantum two-level system
• Introduction to Theoretical and Experimental aspects of Quantum Optimal Control
• Complete control of a matter qubit using a single picosecond laser pulse
• Control of populations of two-level systems by a single resonant laser pulse
• Fast, high-fidelity addressed single-qubit gates using efficient composite pulse sequences
• Exploring the top and bottom of the quantum control landscape
• Eigenstate Tracking in Open Quantum Systems
• Pulse engineering for population control under dephasing and dissipation
• Invariant-based inverse engineering of crane control parameters
• Reverse engineering protocols for controlling spin dynamics
• Singularity-free quantum tracking control of molecular rotor orientation
• Pulse reverse-engineering for strong field-matter interaction
• Exploring Quantum Control Landscape and Solution Space Complexity through Dimensionality Reduction & Optimization Algorithms
• Quantum tracking control of the orientation of symmetric top molecules
• Single-laser-pulse implementation of arbitrary ZYZ rotations of an atomic qubit
• Reverse engineering control of relative phase and populations of two-level quantum systems
• Qubit dynamics driven by smooth pulses of finite duration