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Non-spurious harmonic oscillator states with arbitrary symmetry

Nuclear Physics

Annals of PhysicsOct 1, 19890 citations

Experimental Demonstration of a Technique to Generate Arbitrary Quantum Superposition States of a Harmonically Bound Spin- 1/2 Particle

Amit Ben-Kish, B. DeMarco, V. Meyer +8 more

Using a single, harmonically trapped 9Be(+) ion, we experimentally demonstrate a technique for generation of arbitrary states of a two-level particle confined by a harmonic potential. Rather than engineering a single Hamiltonian that evolves the system to a desired final state, we implement a technique that applies a sequence of simple operations to synthesize the state.

arXiv:quant-ph/0208181Physical Review LettersJan 23, 200369 citations

Generation of non-classical states of a harmonic oscillator by measurement using a two-level system

Mehmet Cantürk, Adrian Lupaşcu

Bulletin of the American Physical SocietyMar 13, 20170 citations

Intricacies of Harmonic Oscillators

Edward B. Manoukian

Springer eBooksJan 16, 20070 citations

Quantum Spectrometry for Arbitrary Noise

Daniel Goldwater, P. F. Barker, Angelo Bassi +1 more

We present a technique for recovering the spectrum of a non-Markovian bosonic bath and/or non-Markovian noises coupled to a harmonic oscillator. The treatment is valid under the conditions that the environment is large and hot compared to the oscillator, and that its temporal autocorrelation functions are symmetric with respect to time translation and reflection-criteria which we consider fairly minimal. We model a demonstration of the technique as deployed in the experimental scenario of a nanosphere levitated in a Paul trap, and show that it would effectively probe the spectrum of an electric field noise source from 10^{2} to 10^{6} Hz with a resolution inversely proportional to the measurement time. This technique may be deployed in quantum sensing, metrology, computing, and in experimental probes of foundational questions.We present a technique for recovering the spectrum of a non-Markovian bosonic bath and/or non-Markovian noises coupled to a harmonic oscillator. The treatment is valid under the conditions that the environment is large and hot compared to the oscillator, and that its temporal autocorrelation functions are symmetric with respect to time translation and reflection-criteria which we consider fairly minimal. We model a demonstration of the technique as deployed in the experimental scenario of a nanosphere levitated in a Paul trap, and show that it would effectively probe the spectrum of an electric field noise source from 10^{2} to 10^{6} Hz with a resolution inversely proportional to the measurement time. This technique may be deployed in quantum sensing, metrology, computing, and in experimental probes of foundational questions.

arXiv:1901.10445Physical Review LettersDec 2, 20198 citations

The evolution operator technique in solving the Schrodinger equation, and its application to disentangling exponential operators and solving the problem of a mass-varying harmonic oscillator

C M Cheng, P. C. W. Fung

The authors present a method for finding the evolution operator for the Schrodinger equation for the Hamiltonian expressible as H(t)=a 1 (t)J 4 +a 2 (t)J 0 +a 3 (t) J - where J + , J 0 and J - are the SU(2) group generators. Such a method is applied to the disentangling technique for exponential operators which are not necessarily unitary. As a demonstration of our general approach, they solved the problem of a harmonic oscillator with a varying mass.

Journal of Physics A Mathematical and GeneralNov 21, 198897 citations

Experimental demonstration of a technique for generation of arbitrary harmonic oscillator states.

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Experimental demonstration of a technique for generation of arbitrary harmonic oscillator states.

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