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We introduce a semiclassical quantization method which is based on a stroboscopic description of the classical and the quantum flows. We show that this approach emerges naturally when one is interested in extracting the energy spectrum…

混沌动力学 · 物理学 2007-05-23 Bruno Eckhardt , Uzy Smilansky

Number states and thermal states form an important class of physical states in quantum theory. A mathematical framework for studying these states is that of a Fock space over an appropriate Hilbert space. Several generalizations of the…

复变函数 · 数学 2025-02-06 Natanael Alpay , Tiju Cherian John

Polarization of light is harnessed in an abundance of classical and quantum applications. Characterizing polarization in a classical sense is done resoundingly successfully using the Stokes parameters, and numerous proposals offer new…

量子物理 · 物理学 2018-10-05 Aaron Z. Goldberg , Daniel F. V. James

We study the distances, called spacings, between pairs of neighboring energy levels for the quantum harmonic oscillator. Specifically, we consider all energy levels falling between E and E+1, and study how the spacings between these levels…

数学物理 · 物理学 2015-05-28 Pavel M. Bleher , Youkow Homma , Lyndon L. Ji , Roland K. W. Roeder , Jeffrey D. Shen

The class of possible thermodynamic conversions can be extended by introducing an auxiliary system called catalyst, which assists state conversion while remaining its own state unchanged. We reveal a complete characterization of catalytic…

量子物理 · 物理学 2022-09-13 Naoto Shiraishi , Takahiro Sagawa

We analyze condition of orthogonality between optical Schrodinger cat-like-states constructed as superposition of two coherent states. We show that the orthogonality condition leads to quantization of values of a naturally emerging…

量子物理 · 物理学 2016-06-22 Ludmila Praxmeyer

Schr\"odinger's cat originates from the famous thought experiment querying the counterintuitive quantum superposition of macroscopic objects. As a natural extension, several "cats" (quasi-classical objects) can be prepared into coherent…

The concept of the physical state of a system is ubiquitous in physics but is usually presented in terms of specific cases. For example, the state of a point particle of mass m is completely characterized by its position and momentum. There…

物理学史与哲学 · 物理学 2019-04-15 Stephen Boughn

The trace distance between two quantum states, $\rho$ and $\sigma$, is an operationally meaningful quantity in quantum information theory. However, in general it is difficult to compute, involving the diagonalization of $\rho - \sigma$. In…

量子物理 · 物理学 2019-08-07 Patrick J. Coles , M. Cerezo , Lukasz Cincio

This is a three step work: i) we explain why quantum point contacts are similar to ballistic quantum dots; ii) we introduce the virtual Kondo state in both systems; iii-1st) this state explains 0.7 structure in point contacts; iii-2nd)…

凝聚态物理 · 物理学 2007-05-23 Daniel L. Miller

Quantum descriptions of many complex systems are formulated most naturally in bases of states that are not mutually orthogonal. We introduce a general and powerful yet simple approach that facilitates solving such models exactly by…

介观与纳米尺度物理 · 物理学 2009-10-31 Eldon Emberly , George Kirczenow

Distinguishing non-local orders, including global and topological orders of states through solely local measurements and classical communications (LOCC) is a highly non-trivial and challenging task since the topology of states is determined…

量子物理 · 物理学 2023-09-29 Kazuki Ikeda

We experimentally investigate various quantum polarization features of three-photon quantum states, including product and entangled states with varying purity. The three-photon quantum states are categorized into six classes based on the…

量子物理 · 物理学 2017-09-27 Yosep Kim , Gunnar Björk , Yoon-Ho Kim

It is known that the Schroedinger equation may be derived from a hydrodynamic model in which the Lagrangian position coordinates of a continuum of particles represent the quantum state. Using Routh\s method of ignorable coordinates it is…

量子物理 · 物理学 2018-08-23 Peter Holland

Probability distributions play a central role in quantum mechanics, and even more so in quantum optics with its rich diversity of theoretically conceivable and experimentally accessible quantum states of light. Quantifiers that compare two…

量子物理 · 物理学 2025-10-21 Soumyabrata Paul , V. Balakrishnan , S. Ramanan , S. Lakshmibala

We study various types of multipartite states lying near the quantum-classical boundary. The class of so-called classical states are precisely those in which each party can perform a projective measurement to identify a locally held state…

量子物理 · 物理学 2011-05-18 Lin Chen , Eric Chitambar , Kavan Modi , Giovanni Vacanti

We investigate the energy distribution and quantum thermodynamics in periodically driven polaritonic systems in the stationary state at room temperature. Specifically, we consider an exciton strongly coupled to a harmonic oscillator and…

介观与纳米尺度物理 · 物理学 2023-01-10 Maicol A. Ochoa

The abstract mathematical structure behind the positive energy quantization of linear classical systems is described. It is separated into 3 stages: the description of a classical system, the algebraic quantization and the Hilbert space…

数学物理 · 物理学 2009-07-01 Jan Derezinski , Christian Gérard

We consider the nonlinear Schr{\"o}dinger equation with a short-range external potential, in a semi-classical scaling. We show that for fixed Planck constant, a com-plete scattering theory is available, showing that both the potential and…

偏微分方程分析 · 数学 2020-12-16 Rémi Carles

We study the dynamics of a quantum particle coupled to dissipative (ohmic) environments, such as an electron liquid. For some choices of couplings, the properties of the particle can be described in terms of an effective mass. A particular…

介观与纳米尺度物理 · 物理学 2009-11-07 F. Guinea