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Messung und graphische Darstellung von Ein- und Zwei-Moden-gequetschten Zuständen des Lichts

J. Bauchrowitz

Published Jan 1, 2013• 0 citations
Publisher

Abstract

The standard process for the production of strongly squeezed states of light is degenerate optical parametric amplification (OPA) below threshold in nonlinear dielectric media such as lithium niobate or periodically poled potassium titanyl phosphate.This work presents the generation of the most strongly squeezed states of light so far, as well as the first graphical description of squeezed-light generation via OPA.The newly developed graphical description visualizes the interaction between the nonlinear dielectric polarization of the medium and the electromagnetic quantum field.It explicitly focuses on the transition from the field's ground state to a squeezed vacuum state, and from a coherent state to a bright squeezed state by the medium's second-order nonlinearity.The pictures visualize the phase-dependent amplification and deamplification of quantum uncertainties, and give the phase relations between all propagating electromagnetic fields, as well as the internally induced dielectric polarizations.The graphical description can also be used to describe the generation of nonclassical states of light via higher-order effects of the nonlinear dielectric polarization, such as four-wave mixing, and the optical Kerr effect.By superposing strongly squeezed states of light, strongly entangled states can be produced.This work measured states such as those discussed in 1935 in the famous gedanken experiment by Einstein, Podolsky and Rosen (EPR) and introduced by Schrödinger in terms of entanglement and steering.The source of entanglement in this work was composed of a half-monolithic, optically nonlinear cavity providing 11,3 dB squeezing and a monolithic, optically nonlinear cavity providing 12,7 dB squeezing.The latter value is the highest noise suppression up to now.This source of entanglement achieved a sixfold increase of the observed EPR-steering effect with regard to previous experiments, as quantified by the Reid criterion.It achieved an unprecedentedly low conditional variance product of about 0,04 < 1, where 1 is the upper bound below which steering is demonstrated.The steering effect was observed on an unconditional two-mode-squeezed entangled state that contained a total vacuum state contribution of less than 8 %, including detection imperfections.Together with the achieved high interference contrast between the entangled state and a bright coherent laser field, this state is compatible with efficient applications in high-power laser interferometers and fiber-based networks for entanglement distribution.

DOI
10.15488/8012

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The standard process for the production of strongly squeezed states of light is degenerate optical parametric amplification (OPA) below threshold in nonlinear dielectric media such as lithium niobate or periodically poled potassium titanyl phosphate.This work presents the generation of the most strongly squeezed states of light so far, as well as the first graphical description of squeezed-light generation via OPA.The newly developed graphical description visualizes the interaction between the nonlinear dielectric polarization of the medium and the electromagnetic quantum field.It explicitly focuses on the transition from the field's ground state to a squeezed vacuum state, and from a coherent state to a bright squeezed state by the medium's second-order nonlinearity.The pictures visualize the phase-dependent amplification and deamplification of quantum uncertainties, and give the phase relations between all propagating electromagnetic fields, as well as the internally induced dielectric polarizations.The graphical description can also be used to describe the generation of nonclassical states of light via higher-order effects of the nonlinear dielectric polarization, such as four-wave mixing, and the optical Kerr effect.By superposing strongly squeezed states of light, strongly entangled states can be produced.This work measured states such as those discussed in 1935 in the famous gedanken experiment by Einstein, Podolsky and Rosen (EPR) and introduced by Schrödinger in terms of entanglement and steering.The source of entanglement in this work was composed of a half-monolithic, optically nonlinear cavity providing 11,3 dB squeezing and a monolithic, optically nonlinear cavity providing 12,7 dB squeezing.The latter value is the highest noise suppression up to now.This source of entanglement achieved a sixfold increase of the observed EPR-steering effect with regard to previous experiments, as quantified by the Reid criterion.It achieved an unprecedentedly low conditional variance product of about 0,04 < 1, where 1 is the upper bound below which steering is demonstrated.The steering effect was observed on an unconditional two-mode-squeezed entangled state that contained a total vacuum state contribution of less than 8 %, including detection imperfections.Together with the achieved high interference contrast between the entangled state and a bright coherent laser field, this state is compatible with efficient applications in high-power laser interferometers and fiber-based networks for entanglement distribution.
The standard process for the production of strongly squeezed states of light is degenerate optical parametric amplification (OPA) below threshold in nonlinear dielectric media such as LiNbO3 or periodically poled potassium titanyl phosphate (KTP). Here, we present a graphical description of squeezed-light generation via OPA, visualizing the interaction between the nonlinear dielectric polarization of the medium and the electromagnetic quantum field. We explicitly focus on the transfer from the field's ground state to a squeezed vacuum state and from a coherent state to a bright squeezed state by the medium's second-order nonlinearity, respectively. Our pictures illustrate the phase-dependent amplification and deamplification of quantum uncertainties and give the phase relations between all propagating electromagnetic fields as well as the internally induced dielectric polarizations. The graphical description can also be used to describe the generation of nonclassical states of light via higher-order effects of the nonlinear dielectric polarization such as four-wave mixing and the optical Kerr effect.
The standard process for the production of strongly squeezed states of light is optical parametric amplification (OPA) below threshold in dielectric media such as LiNbO3 or periodically poled KTP. Here, we present a graphical description of squeezed light generation via OPA. It visualizes the interaction between the nonlinear dielectric polarization of the medium and the electromagnetic quantum field. We explicitly focus on the transfer from the field's ground state to a squeezed vacuum state and from a coherent state to a bright squeezed state by the medium's secondorder nonlinearity, respectively. Our pictures visualize the phase dependent amplification and deamplification of quantum uncertainties and give the phase relations between all propagating electro-magnetic fields as well as the internally induced dielectric polarizations. The graphical description can also be used to describe the generation of nonclassical states of light via higherorder effects of the non-linear dielectric polarization such as four-wave mixing and the optical Kerr effect.
In 1935 Schr\"odinger introduced the terms entanglement and steering in the context of the famous gedanken experiment discussed by Einstein, Podolsky, and Rosen (EPR). Here, we report on a sixfold increase of the observed EPR-steering effect with regard to previous experiments, as quantified by the Reid criterion. We achieved an unprecedented low conditional variance product of about 0.04<10.04<10.04<1, where 1 is the upper bound below which steering is demonstrated. The steering effect was observed on an unconditional two-mode-squeezed entangled state that contained a total vacuum state contribution of less than 8%, including detection imperfections. Together with the achieved high interference contrast between the entangled state and a bright coherent laser field, our state is compatible with efficient applications in high-power laser interferometers and fiber-based networks for entanglement distribution.
Generation and manipulation of continuous variable quantum states are the building blocks of quantum communication, quantum key distribution and quantum networks. According to the second-order nonlinear process of the periodically-poled potassium titanyl phosphate (PPKTP) crystal, we design a semi-monolithic optical parametric amplifier (OPA) cavity to generate the bright squeezed light at a wavelength of 1064 nm. With the injection of a seed beam, the squeezed state generated by the OPA has a coherent amplitude, so called bright squeezed state. The squeezing level is directly observed to be –11.6 dB when the pump power is 310 mW at an analysis frequency of 3 MHz. However, with the increase of the pump power, the purity of the squeezed state gets lower and lower due to the increased influence of the anti-squeezing quadrature component on the squeezed quadrature component in the detection process. To obtain a higher purity of the squeezed state for achieving linear optical manipulation and quantum tomography, we choose the pump power of 50 mW, the squeezing level decreases to –6 dB, and the purity of the squeezed state is 98.5% in this case. An electro-optic modulator is adopted to realize the liner manipulation of the squeezed light in the phase space. During the measurement of the bright squeezed state, all the data are taken on condition that the length of the OPA cavity and relative phase between the seed beam and the pump beam are locked by a locking loop. The direct current (DC) signal of the balanced homodyne detection (BHD) is used to accurately determine the phase corresponding to the time domain signal of the squeezed state, while the alternate current (AC) signal of the BHD is mixed with the signal generated by the function generator, after passing through a low-pass filter and a high-pass filter, the signal is then amplified by using a low-noise amplifier. A high-performance oscilloscope is finally used to simultaneously collect the signals, thus obtaining the quantum noise signal of the bright squeezed light after linear manipulation. Together with the maximum likelihood estimation algorithm, the quantum tomography, the density matrix and the Wigner function of the bright squeezed light are obtained, that is, all the information such as the photon number distribution of the quantum state is determined. Multiple iterations are taken in the maximum likelihood estimation algorithm process to eliminate the influence of the low quantum efficiency on the detection system, so that the density matrix is fitted well with the theoretical results.
Nonclassical states of light are of increasing interest due to their applications in the emerging field of quantum information processing and communication. Squeezed light is such a state of the electromagnetic field in which the quantum noise properties are altered compared with those of coherent light. Squeezed light and squeezed vacuum states are potentially useful for quantum information protocols as well as optical measurements, where sensitivities can be limited by quantum noise. We experimentally study a source of squeezed vacuum resulting from the interaction of near-resonant light with both cold and hot Rb atoms via the nonlinear polarization self-rotation effect (PSR). We investigate the optimal conditions for noise reduction in the resulting squeezed states, reaching quadrature squeezing levels of up to 2.6 dB below shot noise, as well as observing noise reduction for a broad range of detection frequencies, from tens of kHz to several MHz. We use this source of squeezed vacuum at 795 nm to further study the noise properties of these states and how they are affected by resonant atomic interactions. This includes the use of a squeezed light probe to give a quantum enhancement to an optical magnetometer, as well as studying the propagation of squeezed vacuum in an atomic medium under conditions of electromagnetically induced transparency (EIT). We also investigate the propagation of pulses of quantum squeezed light through a dispersive atomic medium, where we examine the possibilities for quantum noise signals traveling at subluminal and superluminal velocities. The interaction of squeezed light with resonant atomic vapors finds various potential applications in both quantum measurements and continuous variable quantum memories.
We started to research quantum illumination radar and quantum imaging by utilizing high quality continuous-wave two-mode squeezed light source as a quantum entanglement resource. Two-mode squeezed light is a macroscopic quantum entangled state of the electro-magnetic field and shows strong correlation between quadrature phase amplitudes of each optical field. One of the most effective methods to generate two-mode squeezed light is combining two independent single-mode squeezed lights by using a beam splitter with relative phase of 90 degrees between each optical field. As a first stage of our work we are developing two-mode squeezed light source for exploring the possibility of quantum illumination radar and quantum imaging. In this article we introduce current development of experimental investigation of single-mode squeezed light. We utilize a sub-threshold optical parametric oscillator with bow-tie configuration which includes a periodically-polled potassium titanyl phosphate crystal as a nonlinear optical medium. We observed the noise level of squeezed quadrature −3.08±0.13 dB and anti-squeezed quadrature at 9.29±0.13 dB, respectively. We also demonstrated the remote tuning of squeezing level of the light source which leads to the technology for tuning the quantum entanglement in order to adapt to the actual environmental condition.