Time-of-flight quantum tomography of an atom in an optical tweezer

Brown, Mark O.; Muleady, Sean R.; Dworschack, W. J.; Lewis-Swan, Robert J.; Rey, Ana María; Romero‐Isart, Oriol; Regal, C. A.

doi:10.1038/s41567-022-01890-8

Cited by 12 publications

(6 citation statements)

References 42 publications

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“…The representation of a CS in the basis of number states can be expressed as with a ˆ, a ˆ † being the standard bosonic annihilation and creation operators, respectively. In particular and in direct relation to the present work, displaced Fock states (DFSs), which can be regarded as highly nonclassical states of harmonic oscillator, are of substantial interest to make a wide range of applications such as quantum tomography [17], quantum-optical catalysis [18], and cavity optomechanics [19], and quantum-enhanced measurements [20]. In this regard, Schrödinger's cat states as well as Schrödinger's cat qudits have been represented in the infinite Hilbert space of the DFSs [21].…”

Section: Introductionmentioning

confidence: 95%

Nonclassicality of entangled Schrödinger cat states associated to generalized displaced Fock states

Miry,

Faghihi,

Mahmoudi

2023

Phys. Scr.

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In this paper, we introduce some distinct classes of entangled cat states associated to generalized displaced Fock states. For this purpose, we use the formalism of nonlinear coherent states corresponding to nonlinear oscillator algebra which yields various kinds of f-deformed entangled states. We also take a particular class of Gilmore-Perelomov-type of SU(1, 1) and a class of SU(2) coherent states. We then obtain the amount of entanglement between subsystems of the quantum states of interest by applying the measure of concurrence. Furthermore, examining some of the most important criteria, such as Mandels Q parameter, quadrature squeezing and Vogels characteristic function, we study the nonclassicality of the introduced quantum states. The numerical results show remarkable values of entanglement, sub-Poissonian statistics of the field, and squeezing indicating that the introduced states can be regarded as possible candidates for nonclassical entangled states. Afterwards, we see that the Vogel function for quantum states of interests goes beyond the value of characteristic function of the ground state, which shows the nonclassicality of the introduced states.

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Section: Introductionmentioning

confidence: 95%

Nonclassicality of entangled Schrödinger cat states associated to generalized displaced Fock states

Miry,

Faghihi,

Mahmoudi

2023

Phys. Scr.

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“…Decoherence snapshots of mechanical Schrödinger Kerr-cats could be obtained by adapting recent techniques reported in [64]. This would constitute a foundational test of quantum mechanics complementary to seminal results reported in [3,5] on electrical superconducting systems and it will open pathways to encode quantum information in the mechanical mode of a laser-trapped cold atom [72,73] at room temperature (see below).…”

mentioning

confidence: 92%

“…In fact, if ∆ = 2mK with m an integer, it can be shown that the spectrum contained m + 1 exact degeneracies, independent of the value of F or V 0 [28,32]. The dynamical counterpart of these degeneracies is the exact cancellation of tunneling, which can be directly observed [64]. This rare interference effect in the classically forbidden region allows for yet another type of Schödinger cat qubit encoding with enhanced protection [31,32] that could also be encoded in an atomic oscillator.…”

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confidence: 96%

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Towards the generation of mechanical Kerr-cats: awakening the perturbative quantum Moyal corrections to classical motion

Cortiñas

2024

New J. Phys.

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The quantum to classical transition is determined by the interplay of a trio of parameters: dissipation, nonlinearity, and macroscopicity. Why is nonlinearity needed to see quantum effects? And, is not an ordinary pendulum quite nonlinear already? In this manuscript, we discuss the parameter regime where the dynamics of a massive oscillator should be quantum mechanical in the presence of dissipation. We review the outstanding challenge of the dynamical generation of highly quantum mechanical cat states of a massive ‘pendulum’, known as Kerr-cats. We argue that state-of-the-art cold atom experiments may be in a position to reach such a nonlinear regime, which today singles out superconducting quantum circuits. A way to stabilize Schrödinger cat superpositions of a mechanical atomic oscillator via parametric squeezing and further protected by an unusual form of quantum interference is discussed. The encoding of a neutral atom Kerr-cat qubit is proposed.

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“…The results could contribute to a better understanding of the non-local nature of quantum mechanics in the time domain. Moreover, beyond the proposed setup, our theoretical approach has potential applications in related fields such as atomic ghost imaging 27 , 55 , quantum test of the weak equivalence principle with entangled atoms 56 , and state tomography via time-of-flight measurements 30 , 57 , 58 .…”

Section: Introductionmentioning

confidence: 99%

Non-local temporal interference

Ayatollah Rafsanjani,

Kazemi,

Hosseinzadeh

et al. 2024

Sci Rep

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Although position and time have different mathematical roles in quantum mechanics, with one being an operator and the other being a parameter, there is a space–time duality in quantum phenomena—a lot of quantum phenomena that were first observed in the spatial domain were later observed in the temporal domain as well. In this context, we propose a modified version of the double-double-slit experiment using entangled atom pairs to observe a non-local interference in the arrival time distribution, which is analogous to the non-local interference observed in the arrival position distribution. However, computing the arrival time distribution in quantum mechanics is a challenging open problem, and so to overcome this problem we employ a Bohmian treatment. Based on this approach, we numerically demonstrate that there is a complementary relationship between the one-particle and two-particle interference visibilities in the arrival time distribution, which is analogous to the complementary relationship observed in the position distribution. These results can be used to test the Bohmian arrival time distribution in a strict manner, i.e., where the semiclassical approximation breaks down. Moreover, our approach to investigating this experiment can be applied to a wide range of phenomena, and it seems that the predicted non-local temporal interference and associated complementary relationship are universal behaviors of entangled quantum systems that may manifest in various phenomena.

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Time-of-flight quantum tomography of an atom in an optical tweezer

Cited by 12 publications

References 42 publications

Nonclassicality of entangled Schrödinger cat states associated to generalized displaced Fock states

Nonclassicality of entangled Schrödinger cat states associated to generalized displaced Fock states

Towards the generation of mechanical Kerr-cats: awakening the perturbative quantum Moyal corrections to classical motion

Non-local temporal interference

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