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We investigate quantum metrology in a degenerate down-conversion system composed of a pump mode and two degenerate signal modes. In the conventional parametric approximation, the pump mode is assumed to be constant, not a quantum operator.…

Quantum Physics · Physics 2024-04-25 Dong Xie , Chunling Xu

We study the dynamics of the pump mode in the down-conversion Hamiltonian using the cumulant expansion method, perturbation theory, and the full numerical simulation of systems with a pump mean photon number of up to one hundred thousand.…

Quantum Physics · Physics 2024-08-21 Karthik Chinni , Nicolás Quesada

We study the spatial correlations of quantum fluctuations that can be observed in multi-mode spontaneous parametric down-conversion in the regime of high gain. A stochastic model has been solved numerically to obtain quantitative results…

Quantum Physics · Physics 2009-11-10 E. Brambilla , A. Gatti , M. Bache , L. A. Lugiato

Based on the mean-field approximation and the phase space analysis, we study the dynamics of an atom-molecule conversion system subject to particle loss. Starting from the many-body dynamics described by a master equation, an effective…

Quantum Physics · Physics 2015-05-27 B. Cui , L. C. Wang , X. X. Yi

In the framework of Heisenberg-Langevin theory the dynamical and statistical effects arising from the linear interaction of two nondegenerate down-conversion processes are investigated. Using the strong-pumping approximation the analytical…

Quantum Physics · Physics 2012-08-27 Ladislav Mista, , Jiri Herec , Viktor Jelinek , Jaroslav Rehacek , Jan Perina

We show that in parametric down-conversion the coherence properties of a temporally partially coherent pump field get entirely transferred to the down-converted entangled two-photon field. Under the assumption that the frequency-bandwidth…

Quantum Physics · Physics 2017-07-24 Girish Kulkarni , Prashant Kumar , Anand K. Jha

Convergence conditions for quantum annealing are derived for optimization problems represented by the Ising model of a general form. Quantum fluctuations are introduced as a transverse field and/or transverse ferromagnetic interactions, and…

Quantum Physics · Physics 2007-05-25 Satoshi Morita , Hidetoshi Nishimori

Using a perturbative approach, we investigate the parametric down-conversion process without the semi-classical approximation. A Wigner functional formalism, which incorporates both the spatiotemproal degrees of freedom and the…

Quantum Physics · Physics 2020-09-16 Filippus S. Roux

The dynamics of a closed quantum system is often studied with the direct evolution of the Schrodinger equation. In this paper, we propose that the gauge choice (i.e. degrees of freedom irrelevant to physical observables) of the Schrodinger…

Numerical Analysis · Mathematics 2020-02-20 Dong An , Lin Lin

Recent advances in the development of modern quantum technologies have opened the possibility of studying the interplay between spontaneous parametric down-conversion and optomechanics, two of the most fundamental nonlinear optical…

Optical downconversion is widely used for generating photon pairs, squeezed and entangled states of light, making it an indispensable tool in quantum optics and quantum information. In the regime where the pump is much stronger than the…

Quantum Physics · Physics 2025-10-14 D. B. Horoshko , V. S. Shchesnovich

We model spontaneous parametric down-conversion (SPDC) as classical difference frequency generation (DFG) of the pump field and a hypothetical stochastic "vacuum" seed field. We analytically show that the second-order spatiotemporal…

In this paper, a model by which we study the interaction between a motional three-level atom and two-mode field injected simultaneously in a bichromatic cavity is considered; the three-level atom is assumed to be in a $\Lambda$-type…

Quantum Physics · Physics 2014-07-31 M. J. Faghihi , M. K. Tavassoly , M. Hatami

We investigate the effects of a squeezed pump on the quantum properties and conversion efficiency of the light produced in single-pass second harmonic generation. Using stochastic integration of the two-mode equations of motion in the…

Quantum Physics · Physics 2015-06-15 E. MArcellina , J. F. Corney , M. K. Olsen

We investigate the quantum evolution of the pump field in second-harmonic generation under strong pump depletion. Starting from a coherent state, the pump develops a nonclassical phase-space structure resembling a Schr\"odinger cat state.…

Quantum Physics · Physics 2026-04-02 Ranjit Singh , Leonid A. Barinov , Grigori G. Amosov , Anatoly V. Masalov

The phenomenon of parametric down conversion from the vacuum may be understood as a process in classical electrodynamics, in which a nonlinear crystal couples the modes of the pumping field with those of the zeropoint, or "vacuum" field.…

Quantum Physics · Physics 2007-05-23 Trevor W. Marshall

In this work, we present analytical solution of Schr\"odinger equation of confined pseudoharmonic potential in presence of a moving boundary condition, for an arbitrary angular momentum state. It turns out that an important quantity to…

Quantum Physics · Physics 2025-06-27 Akash Halder , Amlan K. Roy , Debraj Nath

Using the approach of coupled wave equations, we consider spontaneous parametric down-conversion (SPDC) in the narrow-band regime and its relationship to classical nonlinear processes such as sum-frequency generation. We find simple…

Quantum Physics · Physics 2013-04-10 Morgan W. Mitchell

We report the efficient generation of high-gain parametric down-conversion, including pump depletion, with pump powers as low as 100 $\mu$W (energies $0.1$~$\mu$J/pulse) and conversion efficiencies up to 33\%. In our simple configuration,…

Quantum Physics · Physics 2020-08-26 Jefferson Flórez , Jeff S. Lundeen , Maria V. Chekhova

A proposed paradigm for out-of-equilibrium quantum systems is that an analogue of quantum phase transitions exists between parameter regimes of qualitatively distinct time-dependent behavior. Here, we present evidence of such a transition…

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