Experimental creation and analysis of displaced number states

Ziesel, Frank; Ruster, Thomas; Walther, Andreas; Kaufmann, Henning; Dawkins, S. T.; Singer, Kilian; Schmidt‐Kaler, F.; Poschinger, Ulrich

doi:10.1088/0953-4075/46/10/104008

Cited by 25 publications

(21 citation statements)

References 31 publications

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“…Experimental methods for the coherent displacement, needed for the realization of our quantum process, are available for such a system; see Refs. [46,47].…”

Section: A Regularization Of Quantum Statesmentioning

confidence: 99%

Preparation of arbitrary quantum states with regular P functions

Kuhn

Vogel

2018

Phys. Rev. A

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We propose a quantum optical device to experimentally realize quantum processes, which perform the regularization of the-in general highly singular-Glauber-Sudarshan P functions of arbitrary quantum states before their application and/or measurement. This allows us to produce a broad class of nonclassical states with regular P functions, also called nonclassicality quasiprobabilities. For this purpose, the input states are combined on highly transmissive beam splitters with specific Gaussian or non-Gaussian classical states. We study both balanced and unbalanced homodyne detections for the direct sampling of the output states of the implemented processes, which requires no further regularization or state-reconstruction. By numerical simulations we demonstrate the feasibility of our approach and we outline the generalization to multimode light.

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“…Experimental methods for the coherent displacement, needed for the realization of our quantum process, are available for such a system; see Refs. [46,47].…”

Section: A Regularization Of Quantum Statesmentioning

confidence: 99%

Preparation of arbitrary quantum states with regular P functions

Kuhn

Vogel

2018

Phys. Rev. A

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“…This requires calculating the corresponding phonon distributions for mean phonon numbers ranging up to 10 3 . The expression for this distribution equation (2) can be evaluated by considering the phonon distribution for displaced number states [46]:…”

Section: Highly Excited Displaced Thermal Statesmentioning

confidence: 99%

Experimental realization of fast ion separation in segmented Paul traps

et al. 2014

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We experimentally demonstrate fast separation of a two-ion crystal in a microstructured segmented Paul trap. By the use of spectroscopic calibration routines for the electrostatic trap potentials, we achieve the required precise control of the ion trajectories near the \textit{critical point}, where the harmonic confinement by the external potential vanishes. The separation procedure can be controlled by three parameters: A static potential tilt, a voltage offset at the critical point, and the total duration of the process. We show how to optimize the control parameters by measurements of ion distances, trap frequencies and the final motional excitation. At a separation duration of $80 \mu$s, we achieve a minimum mean excitation of $\bar{n} = 4.16(0.16)$ vibrational quanta per ion, which is consistent with the adiabatic limit given by our particular trap. We show that for fast separation times, oscillatory motion is excited, while a predominantly thermal state is obtained for long times. The presented technique does not rely on specific trap geometry parameters and can therefore be adopted for different segmented traps

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“…The displaced number state is a generalization of the usual field coherent state, they have been studied theoretically and experimentally. It is worth to mention that the displaced Fock states of the electromagnetic field were synthesized by overlapping the single-photon Fock state |1 with coherent states on a high-reflection beam splitter and completely characterized by means of quantum homodyne tomography [46] and more recently displaced number states of a vibrational mode of a single trapped ion were created by means of a combination of optical and electrical manipulation of the ion [47].…”

Section: Statistical Propertiesmentioning

confidence: 99%

Photon-added nonlinear coherent states for a one-mode field in a Kerr medium

2013

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We construct deformed photon-added nonlinear coherent states (DPANCSs) by application of the deformed creation operator upon the nonlinear coherent states obtained as eigenstates of the deformed annihilation operator and by application of a deformed displacement operator upon the vacuum state. We evaluate some statistical properties like the Mandel parameter, Husimi, and Wigner functions for these states and analyze their differences; we give closed analytical expressions for them. We found a profound difference in the statistical properties of the DPANCSs obtained from the two abovementioned generalizations.

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Experimental creation and analysis of displaced number states

Cited by 25 publications

References 31 publications

Preparation of arbitrary quantum states with regular P functions

Preparation of arbitrary quantum states with regular P functions

Experimental realization of fast ion separation in segmented Paul traps

Photon-added nonlinear coherent states for a one-mode field in a Kerr medium

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