Generation of a two-mode squeezed vacuum field in forward four-wave-mixing process in an ensemble of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Λ</mml:mi></mml:math>atoms

Vdovin, Valery; Tokman, M. D.

doi:10.1103/physreva.87.012323

Cited by 9 publications

(34 citation statements)

References 52 publications

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“…Since the photon energy is equal to the energy of one exciton, one could (wrongly) assume that this photon creates one (up or down) exciton which will eventually recombine, so the reemitted photon will be in either R or L state with equal probability. However, from the exact solution (10) we see that the reemitted photon will be linearly polarized. Interestingly, it was predicted in [12] that the spatial structure of a single-photon field should be preserved after its absorption and reemission by an ensemble of atoms due to the entanglement of their states.…”

Section: Fig 2: (Color Online)mentioning

confidence: 90%

“…In a more general and realistic case, the incident field is not exactly monochromatic but occupies a narrow frequency band ∆ω ω. In this case the creation and annihilation operators are defined for slowly varying amplitudes of the Heisenberg operators (see also [9,10]). Note that the operatorsĉ R andĉ V R , and other similar combinations (same forĉ L ,ĉ V L ) correspond to the field modes with different wave numbers: k = |k| and k = −|k|.…”

Section: B Response Of the Mx2 Monolayer To An Incident Fieldmentioning

confidence: 99%

“…(26) and (27) correspond to a unit quantization volume V = 1, i.e. the dyadicŝ c † Rĉ R andĉ † Lĉ L are the operators of the photon density (see [9,10,20]), and the quantities like ĉ †…”

Section: B Response Of the Mx2 Monolayer To An Incident Fieldmentioning

confidence: 99%

“…This coupling can be mediated by classical electromagnetic fields, such as the coupling between two photons in a nonlinear optical medium [8][9][10]. However, as shown in Appendix A, a classical field cannot entangle non-interacting quantum systems.…”

Section: Introductionmentioning

confidence: 99%

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Valley entanglement of excitons in monolayers of transition-metal dichalcogenides

2015

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We show that excitons in K and K valleys of transition metal dichalcogenide monolayers can be entangled with respect to their valley degree of freedom by absorbing linearly polarized single photons. This effect does not require any interaction between K and K excitons in contrast to conventional mechanisms of entanglement that are mediated by coupling between quantum systems (e.g. entanglement of photons in nonlinear optical interactions). The valley entanglement of excitons and free carriers can be verified by measuring the polarization of their photoluminescence or fluctuations of the photocurrent under an applied in-plane DC bias.

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Section: Fig 2: (Color Online)mentioning

confidence: 90%

Section: B Response Of the Mx2 Monolayer To An Incident Fieldmentioning

confidence: 99%

Section: B Response Of the Mx2 Monolayer To An Incident Fieldmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Valley entanglement of excitons in monolayers of transition-metal dichalcogenides

2015

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“…For a wide range of regimes of interaction between quantum radiation and dense atomic medium the linear approximation is applicable, whereas the nonlinear response, as well as Langevin effects can be taken into account as small additional terms to the linear relation [18,20]:…”

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confidence: 99%

Fluctuation-dissipation relation in a resonantly driven quantum medium

Erukhimova

Tokman

2015

Opt. Lett.

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We calculate the radiation noise level associated with the spontaneous emission of a coherently driven medium. The significant field-induced modification of relation between the noise power and damping constant in a thermal reservoir is obtained. The nonlinear noise exchange between different atomic frequencies leads to violation of standard relations dictated by the fluctuation-dissipation theorem.PACS numbers: 42.50. Lc, 42.50.Ct, 42.50.Gy Introduction -Investigation of fluctuations in open systems (both quantum and classical) is important in many different areas of physics being the subject of incessant general physical interest [1][2][3][4][5]. One of the major results in this field is the Fluctuation-Dissipation Theorem (FDT) [6]. The use of the universal relation between relaxation and fluctuation properties of the medium imposed by FDT turned out to be highly fruitful in the theory of radiation-matter interaction [7]. But in its "standard" variant the FDT is not applicable for nonlinear processes that are of great interest. The theory developed in [8] for calculation of polarisation fluctuations in the presence of coherent drive at the combinational frequency seems to be not applicable for the case of resonant interaction with the medium since it is based on the methods of perturbation theory. Meanwhile one of the most interesting applications of the theory of fluctuations is connected specifically with the resonant control of quantum medium. A number of attractive effects of quantum optics, based on preparation and manipulation of nonclassical states of light with the extremely low dispersion of some physical quantities (squeezed, entangled and so on) [9] are related to these processes. The detailed analysis of Langevin sources influence on the preparation of nonclassical states of light in different nonlinear resonance regimes have been carried out in a wide range of papers [10][11][12][13][14][15][16]. But in most of papers the consideration was restricted to the case of zero temperature. So only the principal possibility of suppression of intrinsic quantum fluctuations in dissipative media was investigated. The additional noise having a thermal nature associated with the processes of spontaneous emission in the environment is a major factor that destroys the ideal quantum state of light. The possibility of suppression (squeezing) of "thermal" fluctuations due to the same mechanisms of nonlinear interactions was considered in the paper [17], but the authors used a simplified method estimating the noise source as for non-interacting oscillators.

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Anisotropy-Induced Transparency in Optically Dense Media

Tokman

Erukhimova

2015

Radiophys Quantum El

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The effect of anisotropy-induced transparency, which is analogous to electromagnetically induced transparency in the three-level medium located in a resonance field, is predicted and studied theoretically. This effect is connected with destructive interference between oscillations in different degrees of freedom of an anisotropic medium, which are connected with each other, as radiation propagates at an angle to one of the optical axes in a triaxial or uniaxial crystal. In this case, a hybrid-type polariton is formed in the "transparency window," which combines the quasilongitudinal polarization with the "vacuum" refractive index. Such a wave is excited easily by radiation incident from the vacuum and should have enhanced impedance of coupling with active or nonlinear elements, which can be useful for the creation of small-size optical systems. Due to the interest in quantum-optical effects displayed recently, the regime of anisotropy-induced transparency is considered within the framework of the quantum theory of radiation in an optically dense medium.

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Generation of a two-mode squeezed vacuum field in forward four-wave-mixing process in an ensemble ofΛatoms

Cited by 9 publications

References 52 publications

Valley entanglement of excitons in monolayers of transition-metal dichalcogenides

Valley entanglement of excitons in monolayers of transition-metal dichalcogenides

Fluctuation-dissipation relation in a resonantly driven quantum medium

Anisotropy-Induced Transparency in Optically Dense Media

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