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Journal ArticleDOI

Designer evolution of quantum systems by inverse engineering

Nikolay V. Vitanov, +1 more
- 24 Jul 2015 - 
- Vol. 48, Iss: 17, pp 174008
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TLDR
In this paper, a simple procedure called designer evolution of quantum systems by inverse engineering (DEQSIE) is presented for designing the time-dependent Rabi frequencies and detunings needed to produce specified changes to two-and three-state quantum systems governed by the timedependent Schrodinger equation.
Abstract
We present a simple procedure—which we distinguish by the term designer evolution of quantum systems by inverse engineering (DEQSIE)—for designing the time-dependent Rabi frequencies and detunings needed to produce specified changes to two- and three-state quantum systems governed by the time-dependent Schrodinger equation DEQSIE thereby provides a straightforward recipe for a ‘shortcut’ to any desired quantum-state evolution, whether or not it is adiabatic Moreover, DEQSIE allows one to derive infinitely many exact analytic solutions for two- and three-state quantum systems Numerical examples illustrate the pulses needed for specific purposes, eg complete population transfer or creation of maximal coherence

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Citations
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Journal ArticleDOI

Shortcuts to adiabaticity: Concepts, methods, and applications

TL;DR: Shortcuts to adiabaticity (STA) as mentioned in this paper is a systematic approach to accomplish the same final state transfer in a faster manner, which is used for atomic and molecular physics.
Journal ArticleDOI

Picturing stimulated Raman adiabatic passage: a STIRAP tutorial

TL;DR: The stimulated-Raman adiabatic passage (STIRAP) is one of many well-established techniques for quantum state manipulation, which finds widespread application in chemistry, physics, and information processing as discussed by the authors.
Journal ArticleDOI

Fast and robust control of two interacting spins

TL;DR: In this article, the authors proposed a fast and robust approach for controlling two spins with Heisenberg and Ising interactions by using the concept of shortcuts to adiabaticity.
Journal ArticleDOI

Hamiltonian design to prepare arbitrary states of four-level systems

TL;DR: In this article, the authors propose a method to manipulate four-level systems with specific coupling configurations by means of time-dependent couplings and constant energy shifts (detunings in quantum-optical realizations).
Journal ArticleDOI

Coherent generation of photonic fractional quantum Hall states in a cavity and the search for anyonic quasiparticles

TL;DR: In this paper, a rapid adiabatic passage scheme was proposed to sequentially add polaritons to the system, such that the system is coherently driven from $n$- to ($n+1$)-particle Laughlin states.
References
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Book

Solitons, Nonlinear Evolution Equations and Inverse Scattering

TL;DR: In this article, the authors bring together several aspects of soliton theory currently only available in research papers, including inverse scattering in multi-dimensions, integrable nonlinear evolution equations in multidimensional space, and the ∂ method.
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Method for solving the Korteweg-deVries equation

TL;DR: In this paper, a method for solving the initial value problem of the Korteweg-deVries equation is presented which is applicable to initial data that approach a constant sufficiently rapidly as
Journal ArticleDOI

Non-Adiabatic Crossing of Energy Levels

TL;DR: In this paper, the crossing of a polar and homopolar state of a molecule with stationary nuclei has been studied, and the essential features may be illustrated in the crossing.
Journal ArticleDOI

Coherent population transfer among quantum states of atoms and molecules

TL;DR: In this paper, the authors discuss the technique of stimulated Raman adiabatic passage (STIRAP), a method of using partially overlapping pulses (from pump and Stokes lasers) to produce complete population transfer between two quantum states of an atom or molecule.
Journal ArticleDOI

Atomi orientati in campo magnetico variabile

Ettore Majorana
- 01 Feb 1932 - 
TL;DR: In this article, the author calcola la probabilita che abbiano luogo processi non adiabatici quando un raggio di vapore orientato passa in prossimita di, un punto in cui il campo magnetico si anmulla.
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