Control of open quantum systems: Manipulation of a qubit coupled to a thermal bath by an external driving field

Abstract

Fast and reliable manipulation with qubits is fundamental for any quantum technology. The implementation of these manipulations in physical systems is the focus of studies involving optimal control theory. Realistic physical devices are open quantum systems. So far, studies in optimal control theory have primarily utilized the Redfield/Lindblad quantum master equation to simulate the dynamics of such systems. However, this Markov description is not always sufficient. Here, we present a study of qubit control utilizing the nonequilibrium Green's function method. We compare the traditional master equation with more general Green's function results and demonstrate that even in the parameter regime suitable for the application of the Redfield/Lindblad approach, the two methods yield drastically different results when addressing evolution involving mixed states. In particular, we find that, in addition to predicting different optimal driving profiles, a more accurate description of system evolution enables the system to reach the desired final state much more quickly. We argue that the primary reason for this is the significance of the non-Markov description of driven system dynamics due to the effect of time-dependent driving on dissipation.

10 pages, 5 figures

References in corpus (13)

• Quantum metrology from a quantum information science perspective
• Kinetic Equations for Transport Through Single-Molecule Transistors
• Stabilization of Ultracold Molecules Using Optimal Control Theory
• Incompatible measurements in quantum information science
• Thermodynamics of Quantum Information Flows
• Gradient-based optimal control of open quantum systems using quantum trajectories and automatic differentiation
• Protecting coherence in Optimal Control Theory: State dependent constraint approach
• Efficiency fluctuations in quantum thermoelectric devices
• QuOCS: The Quantum Optimal Control Suite
• Optimized production of ultracold ground-state molecules: Stabilization employing potentials with ion-pair character and strong spin-orbit coupling
• A Chebychev propagator for inhomogeneous Schrödinger equations
• Liouvillian exceptional points of an open driven two-level system
• Quantum Thermodynamics: Inside-Outside Perspective

Cited by in corpus (3)

• Time evolving matrix product operator (TEMPO) method in a non-diagonal basis set based on derivative of the path integral expression
• Non-equilibrium Dynamics of Three-Level Absorption Refrigerator at Third-Order Liouvillian Exceptional Points
• Quantum Statistical Mechanics of Electronically Open Molecules: Reduced Density Operators