Optimal shape of STIRAP pulses for large dissipation at the intermediate level

• URL: http://arxiv.org/abs/2112.13620v1
• Date: Mon, 27 Dec 2021 11:52:06 GMT
• Title: Optimal shape of STIRAP pulses for large dissipation at the intermediate level
• Authors: Dionisis Stefanatos and Emmanuel Paspalakis
• Abstract summary: We study the problem of maximizing population transfer efficiency in the STIRAP system. We find the control fields which maximize the population transfer to the target state for a given duration $T$.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the problem of maximizing population transfer efficiency in the STIRAP system for the case where the dissipation rate of the intermediate state is much higher than the maximum amplitude of the control fields. Under this assumption, the original three-level system can be reduced to a couple of equations involving the initial and target states only. We find the control fields which maximize the population transfer to the target state for a given duration $T$, without using any penalty involving the population of the lossy intermediate state, but under the constraint that the sum of the intensities of the pump and Stokes pulses is constant, so the total field has constant amplitude and the only control parameter is the mixing angle of the two fields. In the optimal solution the mixing angle changes in the bang-singular-bang manner, where the initial and final bangs correspond to equal instantaneous rotations, while the intermediate singular arc to a linear change with time. We show that the optimal angle of the initial and final rotations is the unique solution of a transcendental equation where duration $T$ appears as a parameter, while the optimal slope of the intermediate linear change as well as the optimal transfer efficiency are expressed as functions of this optimal angle. The corresponding optimal solution recovers the counterintuitive pulse-sequence, with nonzero pump and Stokes fields at the boundaries. We also show with numerical simulations that, transfer efficiency values close to the optimal derived using the approximate system, can also be obtained with the original STIRAP system using dissipation rates comparable to the maximum control amplitude.

Related papers

• Minimum time generation of a uniform superposition in a qubit with only transverse field control [0.0]
  We consider a two-level system with a fixed energy spacing (detuning) between the two levels and a single transverse control field. We solve the problem of generating in minimum time a uniform superposition of the two quantum states when starting from one of them. We find the optimal pulse sequence to have the bang-bang form, and calculate the durations of the pulses composing it.
  arXiv  Detail & Related papers  (2023-12-27T23:22:38Z)
• Optimal STIRAP shortcuts using the spin to spring mapping [0.0]
  We derive shortcuts to adiabaticity maximizing population transfer in a three-level $Lambda$ quantum system. We solve the spring optimal control problem and obtain analytical expressions for the impulses, the durations of the zero control intervals and the singular control.
  arXiv  Detail & Related papers  (2023-12-27T17:11:59Z)
• Optimization of Time-Dependent Decoherence Rates and Coherent Control for a Qutrit System [77.34726150561087]
  Incoherent control makes the decoherence rates depending on time in a specific controlled manner. We consider the problem of maximizing the Hilbert-Schmidt overlap between the system's final state $rho(T)$ and a given target state $rho_rm target.
  arXiv  Detail & Related papers  (2023-08-08T01:28:50Z)
• Optimal State Manipulation for a Two-Qubit System Driven by Coherent and Incoherent Controls [77.34726150561087]
  State preparation is important for optimal control of two-qubit quantum systems. We exploit two physically different coherent control and optimize the Hilbert-Schmidt target density matrices.
  arXiv  Detail & Related papers  (2023-04-03T10:22:35Z)
• Optimal shortcuts of Stimulated Raman Adiabatic Passage in the presence of dissipation [0.0]
  We use optimal control theory to obtain shortcuts to adiabaticity in a three-level STIRAP system. We fix the sum of the intensities of the pump and Stokes pulses and use the mixing angle as the sole control variable.
  arXiv  Detail & Related papers  (2022-12-26T17:35:08Z)
• On the optimality of optical pumping for a closed $\Lambda$-system with large decay rates of the intermediate excited state [0.0]
  We show that for a closed $Lambda$-system where the excited intermediate level decays to the lower levels with a common large rate, the optimal scheme for population transfer between the lower levels is actually optical pumping. We also demonstrate numerically that optical pumping remains optimal when the decay rate to the target state is larger than that to the initial state or the two rates are not very different from each other.
  arXiv  Detail & Related papers  (2022-12-26T16:41:42Z)
• On optimization of coherent and incoherent controls for two-level quantum systems [77.34726150561087]
  This article considers some control problems for closed and open two-level quantum systems. The closed system's dynamics is governed by the Schr"odinger equation with coherent control. The open system's dynamics is governed by the Gorini-Kossakowski-Sudarshan-Lindblad master equation.
  arXiv  Detail & Related papers  (2022-05-05T09:08:03Z)
• On the Convergence of Stochastic Extragradient for Bilinear Games with Restarted Iteration Averaging [96.13485146617322]
  We present an analysis of the ExtraGradient (SEG) method with constant step size, and present variations of the method that yield favorable convergence. We prove that when augmented with averaging, SEG provably converges to the Nash equilibrium, and such a rate is provably accelerated by incorporating a scheduled restarting procedure.
  arXiv  Detail & Related papers  (2021-06-30T17:51:36Z)
• Pushing the Envelope of Rotation Averaging for Visual SLAM [69.7375052440794]
  We propose a novel optimization backbone for visual SLAM systems. We leverage averaging to improve the accuracy, efficiency and robustness of conventional monocular SLAM systems. Our approach can exhibit up to 10x faster with comparable accuracy against the state-art on public benchmarks.
  arXiv  Detail & Related papers  (2020-11-02T18:02:26Z)
• Direct Optimal Control Approach to Laser-Driven Quantum Particle Dynamics [77.34726150561087]
  We propose direct optimal control as a robust and flexible alternative to indirect control theory. The method is illustrated for the case of laser-driven wavepacket dynamics in a bistable potential.
  arXiv  Detail & Related papers  (2020-10-08T07:59:29Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.