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In this paper we study the semiclassical behavior of quantum states acting on the C*-algebra of canonical commutation relations, from a general perspective. The aim is to provide a unified and flexible approach to the semiclassical analysis…

Functional Analysis · Mathematics 2018-11-21 Marco Falconi

One of the central foundational questions of physics is to identify what makes a system quantum as opposed to classical. One seminal notion of classicality of a quantum system is the existence of a non-contextual hidden variable model as…

Quantum Physics · Physics 2022-01-03 Jonas Haferkamp , Juani Bermejo-Vega

In this paper, we correct a mistake we made in [Phys. Rev. Lett. $\textbf{122}$, 190402 (2019)] and [Phys. Rev. A $\textbf{103}$, 012213 (2021)] regarding the Wigner function of the so-called smoothed Weak-Valued state (SWV state). Here…

Quantum Physics · Physics 2025-08-07 Kiarn T. Laverick , Areeya Chantasri , Howard M. Wiseman

In this article we introduce a novel quantum state, the perfect quantum optical vortex state which exhibits a highly localised distribution along a ring in the quadrature space. We examine its nonclassical properties using the Wigner…

Quantum Physics · Physics 2016-11-30 Anindya Banerji , Ravindra Pratap Singh , Dhruba Banerjee , Abir Bandyopadhyay

Starting with the quasi-Bell states of the qubit-oscillator system, we obtain time evolution of the density matrix under the adiabatic approximation. The composite density matrix leads to, via partial tracing of the qubit degree of freedom,…

Quantum Physics · Physics 2015-02-11 R. Chakrabarti , B. Virgin Jenisha

Experimental realization of various quantum states of interest has become possible in the recent past due to the rapid developments in the field of quantum state engineering. Nonclassical properties of such states have led to various…

Quantum Physics · Physics 2022-06-07 Kathakali Mandal , Nasir Alam , Amit Verma , Anirban Pathak , J. Banerji

By numerically calculating the time-evolved Wigner functions, we investigate the dynamics of a few-photon superposed (e.g., up to two ones) state in a dissipating cavity. It is shown that, the negativity of the Wigner function of the…

Quantum Physics · Physics 2011-10-18 Hong-Yan Wen , Jing Cheng , Y. Yang , L. F. Wei

The correspondence principle plays a fundamental role in quantum mechanics, which naturally leads us to inquire whether it is possible to find or determine close classical analogs of quantum states in phase space -- a common meeting point…

Quantum Physics · Physics 2022-01-28 A. S. Sanz

We propose a method for measuring entangled vibronic quantum states of a trapped atom. It is based on the nonlinear dynamics of the system that appears by resonantly driving a weak electronic transition. The proposed technique allows the…

Quantum Physics · Physics 2009-10-30 S. Wallentowitz , R. L. de Matos Filho , W. Vogel

Gaussian states have played on important role in the physics of continuous-variable quantum systems. They are appealing for the experimental ease with which they can be produced, and for their compact and elegant mathematical description.…

Quantum Physics · Physics 2021-10-04 Mattia Walschaers

In this paper, we use the characteristic function, i.e., the Fourier transform of the Glauber-Sudarshan phase-space distribution, to find the degree of nonclassicality of a given state. This degree of nonclassicality quantifies the…

Quantum Physics · Physics 2017-05-18 S. Ryl , J. Sperling , W. Vogel

Much of the discussion of decoherence has been in terms of a particle moving in one dimension that is placed in an initial superposition state (a Schr\"{o}dinger "cat" state) corresponding to two widely separated wave packets. Decoherence…

Quantum Physics · Physics 2007-05-23 M. Murakami , G. W. Ford , R. F. O'Connell

Non-Gaussianity inducing operations are studied in the recent past from different perspectives. Here, we study the role of photon addition, a non-Gaussianity inducing operation, in the enhancement of nonclassicality in a finite dimensional…

Quantum Physics · Physics 2022-06-10 Priya Malpani , Kishore Thapliyal , Anirban Pathak

We implement the direct sampling of negative phase-space functions via unbalanced homodyne measurement using click-counting detectors. The negativities significantly certify nonclassical light in the high-loss regime using a small number of…

Quantum Physics · Physics 2018-02-14 M. Bohmann , J. Tiedau , T. Bartley , J. Sperling , C. Silberhorn , W. Vogel

The significance of photon addition in engineering the single- and two-mode (bipartite correlations) nonclassical properties of a quantum state is investigated. Specifically, we analyzed the behavior of the Wigner function of two…

Quantum Physics · Physics 2022-06-10 Arpita Chatterjee , Kishore Thapliyal , Anirban Pathak

We demonstrate, theoretically and experimentally, that statistical mixtures of the vacuum state |0> and the single-photon Fock state |1> are nonclassical according to the Vogel criterion (W. Vogel, Phys. Rev. Lett. 84, 1849 (2000)),…

Quantum Physics · Physics 2009-11-07 A. I. Lvovsky , J. H. Shapiro

We propose a phase-space representation concept in terms of the Wigner function for a quantum harmonic oscillator model that exhibits the semiconfinement effect through its mass varying with the position. The new method is used to compute…

Quantum Physics · Physics 2024-02-01 S. M. Nagiyev , A. M. Jafarova , E. I. Jafarov

Measurement incompatibility and the negativity of quasiprobability distribution functions are well-known non-classical aspects of quantum systems. Both of them are widely accepted resources in quantum information processing. We acquaint an…

Quantum Physics · Physics 2023-06-14 Jatin Ghai , Gautam Sharma , Sibasish Ghosh

Phase-space features of the Wigner flow for an anharmonic quantum system driven by the harmonic oscillator potential modified by the addition of an inverse square (one-dimension Coulomb-like) contribution are analytically described in terms…

Quantum Physics · Physics 2018-12-05 Alex E. Bernardini

Transmission through potential barriers is a fundamental problem in quantum mechanics. While semiclassical methods can approximate certain aspects of transmission, they fail to capture the intrinsically quantum interference associated with…

Quantum Physics · Physics 2026-05-19 Daniel Julian Nader
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