Ramsey Imaging of Optical Traps

Ramola, Gautam; Winkelmann, R. K.; Chandrashekara, Karthik; Alt, Wolfgang; Xu, Peng; Meschede, Dieter; Alberti, Andrea

doi:10.1103/physrevapplied.16.024041

Cited by 10 publications

(9 citation statements)

References 40 publications

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“…In previous work, we have demonstrated fast displacement of lattice potentials for fast coherent transport [33], the application of Ramsey interferometry to track the dynamics of a matter wave excitation [36], and used a differential modulation of the trap depth to interferometrically measure the optical potential landscape with high spatial resolution [38]. In the same publications [33,36,38], we have shown that the coherence time of the atoms remains unaffected despite a statedependent modulation of the lattice position and depth, which is implicitly assumed in the simulations presented here. Thus, we hope that the proposed method, when experimentally realized, can extend the toolbox available for precise quantum state reconstruction and can inspire other applications in the field of quantum metrology.…”

Section: Discussionmentioning

confidence: 99%

“…Such a change can be performed by varying the polarization ellipticity of one of the lattice beams, as demonstrated in Ref. [38], by either using an electro-optic modulator or a polarization synthesizer [29]. In this study, we consider a smooth variation of the trap depth over a duration of about 15 µs, as shown in Fig.…”

Section: Introductionmentioning

confidence: 99%

“…( 8), which scale with the powers of E rec /( ω). It should be remarked that a state-dependent variation of the trap depth does not require a specific value of the wavelength λ but only that at the chosen wavelength, the differential polarizability of the atom does not vanish [38].…”

Section: Introductionmentioning

confidence: 99%

“…It is sufficient that the qubit state experiences a vectorial differential light shift when the polarization ellipticity is varied, as discussed in Ref. [38].…”

Section: Introductionmentioning

confidence: 99%

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Direct measurement of the Wigner function of atoms in an optical trap

Winkelmann,

Weidner,

Ramola

et al. 2022

Preprint

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We present a scheme that uses Ramsey interferometry to directly probe the Wigner function of a neutral atom confined in an optical trap. The proposed scheme relies on the well-established fact that the Wigner function at a given point (x, p) in phase space is proportional to the expectation value of the parity operator relative to that point. In this work, we show that parity-even and parity-odd motional states can be mapped to two distinct internal states of the atom by using statedependent trapping potentials. The Wigner function can thus be measured point-by-point in phase space with a single, direct measurement of the internal state population. Numerical simulations show that the scheme is robust in that it applies not only to deep, harmonic potentials but also to shallower, anharmonic traps.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…It is sufficient that the qubit state experiences a vectorial differential light shift when the polarization ellipticity is varied, as discussed in Ref. [38].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Direct measurement of the Wigner function of atoms in an optical trap

Winkelmann,

Weidner,

Ramola

et al. 2022

Preprint

Self Cite

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show abstract

“…For the parity operation Π, the trap depth must be differentially modulated for the two internal states so as to fulfill the condition in equation (6). Such a change can be performed by varying the polarization ellipticity of one of the lattice beams, as demonstrated in reference [38], by either using an electro-optic modulator or a polarization synthesizer [29]. In this study, we consider a smooth variation of the trap depth over a duration of about 15 μs, as shown in figure 2(a).…”

Section: Methodsmentioning

confidence: 99%

Direct measurement of the Wigner function of atoms in an optical trap

Winkelmann¹,

Weidner²,

Ramola³

et al. 2022

J. Phys. B: At. Mol. Opt. Phys.

Self Cite

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We present a scheme to directly probe the Wigner function of the motional state of a neutral atom confined in an optical trap. The proposed scheme relies on the well-established fact that the Wigner function at a given point $(x,p)$ in phase space is proportional to the expectation value of the parity operator relative to that point. In this work, we show that the expectation value of the parity operator can be directly measured using two auxiliary internal states of the atom: parity-even and parity-odd motional states are mapped to the two internal states of the atom through a Ramsey interferometry scheme. The Wigner function can thus be measured point-by-point in phase space with a single, direct measurement of the internal state population. Numerical simulations show that the scheme is robust in that it applies not only to deep, harmonic potentials but also to shallower, anharmonic traps.

show abstract