Control of mixed-state quantum systems by a train of short pulses

Abstract

A density matrix approach is developped for the control of a mixed-state quantum system using a time-dependent external field such as a train of pulses. This leads to the definition of a target density matrix constructed in a reduced Hilbert space as a specific combination of the eigenvectors of a given observable through weighting factors related with the initial statistics of the system. A train of pulses is considered as a possible strategy to reach this target. An illustration is given by considering the laser control of molecular alignment / orientation in thermal equilibrium.

10 pages, 8 figures

References in corpus (5)

• Reaching optimally oriented molecular states by laser kicks
• Optimal Control of Quantum Dissipative Dynamics: Analytic solution for cooling the three level $\Lambda$ system
• Constructive control of quantum systems using factorization of unitary operators
• Time-dependent unitary perturbation theory for intense laser driven molecular orientation
• Laser control for the optimal evolution of pure quantum states

Cited by in corpus (15)

• Quantum control of molecular rotation
• Time-optimal control of a two-level dissipative quantum system
• Optimal molecular alignment and orientation through rotational ladder climbing
• Monotonically convergent optimal control theory of quantum systems with spectral constraints on the control field
• Monotonically convergent optimal control theory of quantum systems under a nonlinear interaction with the control field
• Field-free molecular orientation by THz laser pulses at high temperature
• Optimal three-state field-free molecular orientation with terahertz pulses
• Control of molecular dynamics with zero-area fields: Application to molecular orientation and photofragmentation
• Not gate in a cis-trans photoisomerization model
• Field-free long-lived alignment of molecules in extreme rotational states
• Time optimization and state-dependent constraints in the quantum optimal control of molecular orientation
• Quantifying the Unitary Generation of Coherence From Thermal Quantum Systems
• Comparative study of monotonically convergent optimization algorithms for the control of molecular rotation
• Rotational excitation of molecules with long sequences of intense femtosecond pulses
• External constraints on optimal control strategies in molecular orientation and photofragmentation: Role of zero-area fields