Repulsive photons in a quantum nonlinear medium

Cantu, Sergio; Venkatramani, Aditya V.; Xu, Wenchao; Zhou, Leo; Jelenković, B. M.; Lukin, Mikhail D.; Vuletić, Vladan

doi:10.1038/s41567-020-0917-6

Cited by 44 publications

(21 citation statements)

References 30 publications

(61 reference statements)

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“…In quantum optics, the two-photon correlation function is widely considered as one powerful utility to measure the nonclassical radiation of photons, which also reflects the intrinsic correlation properties of quantum materials in light-matter interacting systems [1,[60][61][62][63]. The twophoton correlation function is defined as [48,49]…”

Section: Two-photon Correlation Functionmentioning

confidence: 99%

“…However, the signal of the two-photon correlation function, which is actually dependent on both the energy spectra and the eigenstates, is pronounced and quite obvious. Since the two-photon correlation function can be measured experimentally [61,64,65], we thus propose an alternative way to detect the locations of the 1st-order QPTs in this work.…”

Section: A Additional Photon Antibunchingmentioning

confidence: 99%

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Multiple photon antibunching-to-bunching transitions in the dissipative anisotropic quantum Rabi model

Tian¹,

Wang²,

Chen³

2022

Preprint

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We investigate the two-photon correlation function in the dissipative anisotropic quantum Rabi model in the framework of quantum dressed master equation. Multiple antibunching-to-bunching transitions are generally exhibited at the deep strong qubit-photon coupling. The emerged additional photon antibunching feature is however lacking in the dissipative isotropic quantum Rabi model. Importantly, the observed two-photon statistics can be well described analytically within a few lowest eigenstates at low temperatures. It is revealed that the additional photon antibunching effect is mainly originated from the selection rule of the two-photon correlation measurement induced eigenstate transitions and the enlarged energy gap of the first two eigenstates after the level crossings. Moreover, we unravel the implication of the photon bunching behavior with the first-order quantum phase transition. We hope these results may fertilize the analysis of the nonclassical photon radiation in the anisotropic qubit-photon hybrid systems.

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Section: Two-photon Correlation Functionmentioning

confidence: 99%

Section: A Additional Photon Antibunchingmentioning

confidence: 99%

Multiple photon antibunching-to-bunching transitions in the dissipative anisotropic quantum Rabi model

Tian¹,

Wang²,

Chen³

2022

Preprint

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“…The hydrogen atom will doubtless continue to be one of testing grounds for fundamental physics. Researchers are exploring the relationship between the hydrogen atom and quantum information [152], the effect of non-commuting canonical variables [x i , x j ] = 0 on energy levels [153][154][155], muonic hydrogen spectra [156], and new physics using Rydberg states [157][158][159][160][161][162]. The ultra high precision of the measurement of the energy levels has led to new understanding of low Z two body systems, including muonium, positronium, and tritium [151].…”

Section: Conclusion and Future Researchmentioning

confidence: 99%

Dynamical Symmetries of the H Atom, One of the Most Important Tools of Modern Physics: SO(4) to SO(4,2), Background, Theory, and Use in Calculating Radiative Shifts

Maclay

2020

Symmetry

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Understanding the hydrogen atom has been at the heart of modern physics. Exploring the symmetry of the most fundamental two body system has led to advances in atomic physics, quantum mechanics, quantum electrodynamics, and elementary particle physics. In this pedagogic review, we present an integrated treatment of the symmetries of the Schrodinger hydrogen atom, including the classical atom, the SO(4) degeneracy group, the non-invariance group or spectrum generating group SO(4,1), and the expanded group SO(4,2). After giving a brief history of these discoveries, most of which took place from 1935–1975, we focus on the physics of the hydrogen atom, providing a background discussion of the symmetries, providing explicit expressions for all of the manifestly Hermitian generators in terms of position and momenta operators in a Cartesian space, explaining the action of the generators on the basis states, and giving a unified treatment of the bound and continuum states in terms of eigenfunctions that have the same quantum numbers as the ordinary bound states. We present some new results from SO(4,2) group theory that are useful in a practical application, the computation of the first order Lamb shift in the hydrogen atom. By using SO(4,2) methods, we are able to obtain a generating function for the radiative shift for all levels. Students, non-experts, and the new generation of scientists may find the clearer, integrated presentation of the symmetries of the hydrogen atom helpful and illuminating. Experts will find new perspectives, even some surprises.

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“…Rydberg atoms [1] are an active field of modern physics with applications in precision measurements [2][3][4][5], molecular physics [6,7], quantum control [8,9], field sensing [10][11][12][13], nonlinear quantum optics [14][15][16], and as a platform for quantum computing and simulations [17][18][19]. Being at the core of several directions in fundamental research and emerging quantum technologies [20], Rydberg transitions from low-lying states or other Rydberg atomic states require accurate calculations [21,22].…”

Section: Introductionmentioning

confidence: 99%

Gauge effects in bound-bound Rydberg-transition matrix elements

Duspayev,

Raithel

2021

Preprint

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Accurate data on electric-dipole transition matrix elements (EDTMs) for bound-bound Rydbergatom transitions become increasingly important in science and technology. Here we compute radial EDTMs of rubidium using the length, velocity and acceleration gauges for electric-dipole-allowed transitions between states with principal and angular-momentum quantum numbers ranging from 15 to 100. Wave-functions are computed based upon model potentials from Marinescu et al., Phys. Rev. A 49, 982 (1994). Length-gauge EDTMs, often used for low-ℓ transitions, are found to deviate from the fundamentally more accurate velocity-gauge EDTMs by relative amounts of up to ∼ 10 −3 . We discuss the physical reasons for the observed gauge differences, explain the conditions for applicability of the velocity and length gauges for different transition series, and present a decision tree of how to choose EDTMs. Implications for contemporary Rydberg-atom applications are discussed.

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Repulsive photons in a quantum nonlinear medium

Abstract: Contents I. Methods 1 A. Atom preparation 1 B. Correlation measurements 2 II. A two-component effective equation governing polariton dynamics 2 A. Single-particle dynamics 3 B. Two-particle dynamics 4 C. Comparing full theory with two-component effective theory 7

Cited by 44 publications

References 30 publications

Multiple photon antibunching-to-bunching transitions in the dissipative anisotropic quantum Rabi model

Multiple photon antibunching-to-bunching transitions in the dissipative anisotropic quantum Rabi model

Dynamical Symmetries of the H Atom, One of the Most Important Tools of Modern Physics: SO(4) to SO(4,2), Background, Theory, and Use in Calculating Radiative Shifts

Gauge effects in bound-bound Rydberg-transition matrix elements

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