New quantumness domains through generalized squeezed states

Current definitions of both squeezing operator and squeezed vacuum state are critically examined on the grounds of consistency with the underlying su(1,1) algebraic structure. Accordingly, the generalized coherent states for su(1,1) in its Schwinger two-photon realization are proposed as squeezed states. The physical implication of this assumption is that two additional degrees of freedom become available for the control of quantum optical systems. The resulting physical predictions are evaluated in terms of quadrature squeezing and photon statistics, while the application to a Mach-Zehnder interferometer is discussed to show the emergence of nonclassical regions, characterized by negative values of Mandel's parameter, which cannot be anticipated by the current formulation, and then outline future possible use in quantum technologies.

[1]  N. Mavalvala,et al.  Squeezed light for advanced gravitational wave detectors and beyond. , 2014, Optics express.

[2]  T. Zheng,et al.  The Dynamical Casimir Effect in Squeezed Vacuum State , 2018, International Journal of Theoretical Physics.

[3]  Kirk McKenzie,et al.  Experimental demonstration of a squeezing-enhanced power-recycled michelson interferometer for gravitational wave detection. , 2002, Physical review letters.

[4]  Alex Monras,et al.  Optimal quantum estimation of loss in bosonic channels. , 2007, Physical review letters.

[5]  A. Meijerink,et al.  Non-Poissonian photon statistics from macroscopic photon cutting materials , 2017, Nature Communications.

[6]  L. Mandel,et al.  Optical Coherence and Quantum Optics , 1995 .

[7]  A. Perelomov.  Coherent states for arbitrary Lie group , 1972 .

[8]  A. Bohm,et al.  Dynamical Groups and Spectrum Generating Algebras , 1971 .

[9]  Derek K. Jones,et al.  Enhanced sensitivity of the LIGO gravitational wave detector by using squeezed states of light , 2013, Nature Photonics.

[10]  V. Dodonov.  REVIEW ARTICLE: `Nonclassical' states in quantum optics: a `squeezed' review of the first 75 years , 2002 .

[11]  M Genovese,et al.  Quantum light in coupled interferometers for quantum gravity tests. , 2013, Physical review letters.

[12]  S. Olivares,et al.  Phase estimation with squeezed single photons , 2018, 1802.02922.

[13]  F. Illuminati,et al.  Multiphoton quantum optics and quantum state engineering , 2006, quant-ph/0701050.

[14]  Truax,et al.  Baker-Campbell-Hausdorff relations and unitarity of SU(2) and SU(1,1) squeeze operators. , 1985, Physical review. D, Particles and fields.

[15]  Roman Schnabel,et al.  Squeezed states of light and their applications in laser interferometers , 2016, 1611.03986.

[16]  J. Gazeau.  Coherent States in Quantum Optics: An Oriented Overview , 2018, Integrability, Supersymmetry and Coherent States.

[17]  A. Perelomov.  Generalized Coherent States and Their Applications , 1986 .

[18]  M. Fox.  Quantum Optics: An Introduction , 2006 .

[19]  J. Roch,et al.  Photon statistics characterization of a single-photon source , 2003, quant-ph/0312084.

[20]  L. Mandel,et al.  Sub-Poissonian photon statistics in resonance fluorescence. , 1979, Optics letters.

[21]  Karsten Danzmann,et al.  Detection of 15 dB Squeezed States of Light and their Application for the Absolute Calibration of Photoelectric Quantum Efficiency. , 2016, Physical review letters.

[22]  Technical University of Denmark,et al.  Quantum-enhanced correlated interferometry for fundamental physics tests , 2018, 1810.13386.

[23]  Generalized definition of coherent states and dynamical groups , 1975 .