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We present a fully quantum mechanical treatment of the nondegenerate optical parametric oscillator both below and near threshold. This is a non-equilibrium quantum system with a critical point phase-transition, that is also known to exhibit…

Quantum Physics · Physics 2009-11-10 K. Dechoum , P. D. Drummond , S. Chaturvedi , M. D. Reid

Randomness is a key feature of quantum physics. Heisenberg's uncertainty principle reveals the existence of an intrinsic noise, usually explored through Gaussian squeezed states. Due to their insufficiency for quantum advantage, the focus…

Quantum Physics · Physics 2025-11-20 Vojtěch Kala , Jiří Fadrný , Michal Neset , Jan Bílek , Petr Marek , Miroslav Ježek

Quantum coherence is an essential ingredient in quantum information processing and plays a central role in emergent fields such as nanoscale thermodynamics and quantum biology. However, our understanding and quantitative characterization of…

We evaluate the gravity-induced negativity volume of the generalized Wigner function in a hybrid system consisting of a particle in a two-localized superposition state and an oscillator. The generalized Wigner function can capture the…

Quantum Physics · Physics 2023-11-21 Daisuke Miki , Akira Matsumura , Kazuhiro Yamamoto

Quantum coherence and non-classical correlation are key features of quantum world. Quantifying coherence and non-classical correlation are two key tasks in quantum information theory. First, we present a bona fide measure of quantum…

Quantum Physics · Physics 2018-06-29 Zhi-Xiang Jin , Shao-Ming Fei

We discuss a classical nonlinear oscillator, which is proved to be a superintegrable system for which the bounded motions are quasiperiodic oscillations and the unbounded (scattering) motions are represented by hyperbolic functions. This…

Mathematical Physics · Physics 2007-05-23 José F. Cariñena , Manuel F. Rañada , Mariano Santander

Synchronization is one of the paradigmatic phenomena in the study of complex systems. It has been explored theoretically and experimentally mostly to understand natural phenomena, but also in view of technological applications. Although…

We address the dynamics of nonclassicality for a quantum system interacting with a noisy fluctuating environment described by a classical stochastic field. As a paradigmatic example, we consider a harmonic oscillator initially prepared in a…

Quantum Physics · Physics 2015-10-27 Jacopo Trapani , Matteo Bina , Sabrina Maniscalco , Matteo G. A. Paris

Nonlinear modifications of quantum theory are considered potential candidates for the theory of quantum gravity, with the intuitive argument that since Einstein field equations are nonlinear, quantum gravity should be nonlinear as well.…

Quantum Physics · Physics 2025-06-06 Ruben Campos Delgado , Martin Plávala

Scaling arguments imply that quantum critical points exhibit universal non-linear responses to external probes. We investigate the origins of such non-linearities in transport, which is especially problematic since the system is necessarily…

Superconductivity · Physics 2007-05-23 A. G. Green , S. L. Sondhi

In this paper, we detail an orthogonalization procedure that allows for the quantification of the amount of coherence present an arbitrary superposition of coherent states. The present construction is based on the quantum coherence resource…

Quantum Physics · Physics 2017-11-15 Kok Chuan Tan , Tyler Volkoff , Hyukjoon Kwon , Hyunseok Jeong

We consider an experimentally realizable scheme for manipulating quantum states using a general superposition of products of field annihilation ($\hat{a}$) and creation ($\hat{a}^\dag$) operators of the type ($s \hat{a}\hat{a}^\dag+ t…

Quantum Physics · Physics 2015-06-11 Arpita Chatterjee , Himadri Shekhar Dhar , Rupamanjari Ghosh

The Wigner function of quantum systems is an effective instrument to construct the approximate classical description of the systems for which the classical approximation is possible. During the last time, the Wigner function formalism is…

Quantum Physics · Physics 2009-11-10 Constantin V. Usenko

The manner in which unpredictable chaotic dynamics manifests itself in quantum mechanics is a key question in the field of quantum chaos. Indeed, very distinct quantum features can appear due to underlying classical nonlinear dynamics. Here…

Quantum Physics · Physics 2014-03-07 G. B. Lemos , R. M. Gomes , S. P. Walborn , P. H. Souto Ribeiro , F. Toscano

We consider a nonlinear semi-classical Schrodinger equation for which it is known that quadratic oscillations lead to focusing at one point, described by a nonlinear scattering operator. If the initial data is an energy bounded sequence, we…

Analysis of PDEs · Mathematics 2007-05-23 Remi Carles , Clotilde Fermanian-Kammerer , Isabelle Gallagher

We show that the loss of nonclassicality (including quantum entanglement) cannot be compensated by the (incoherent) amplification of PT-symmetric systems. We address this problem by manipulating the quantum fluctuating forces in the…

Quantum Physics · Physics 2023-09-22 Jan Perina , Adam Miranowicz , Joanna K. Kalaga , Wieslaw Leonski

We investigate nonlinear effects on the dynamics of entanglement and other quantum observables in a system of two harmonic modes coupled through angular momentum. The nonlinearity arises from a quartic anharmonic term in each mode. The…

Quantum Physics · Physics 2020-10-13 N. Canosa , R. Rossignoli , Javier Garcia , Swapan Mandal , Kartick Chandra Saha

The properties of an alternative definition of quantum entropy, based on Wigner functions, are discussed. Such definition emerges naturally from the Wigner representation of quantum mechanics, and can easily quantify the amount of…

Quantum Physics · Physics 2009-11-07 G. Manfredi , M. R. Feix

We show that in a quantum system evolving unitarily under a stochastic quantum circuit the notions of irreversibility, universality of computation, and entanglement are closely related. As the state evolves from an initial product state, it…

Quantum Physics · Physics 2014-12-15 Daniel Shaffer , Claudio Chamon , Alioscia Hamma , Eduardo R. Mucciolo

Quantifying nonclassicality of a bosonic mode is an important but challenge task in quantum optics. Recently, the first nonclassicality measure based on the concept of operational resource theory has been proposed [Phys. Rev. Research 2,…

Quantum Physics · Physics 2020-10-14 Wenchao Ge , M. Suhail Zubairy