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For systems of two and three spins 1/2 it is known that the second moment of the Husimi function can be related to entanglement properties of the corresponding states. Here, we generalize this relation to an arbitrary number of spins in a…

Quantum Physics · Physics 2007-05-23 Stefan Schenk , Gert-Ludwig Ingold

For the first time we introduce the Husimi operator Delta_h(gamma,varepsilon;kappa) for studying Husimi distribution in phase space(gamma,varepsilon) for electron's states in uniform magnetic field, where kappa is the Gaussian spatial width…

Quantum Physics · Physics 2007-05-23 Hong-yi Fan , Qin Guo

We discuss a phase space description of the photon number distribution of non classical states which is based on Husimi's $Q(\alpha)$ function and does not rely in the WKB approximation. We illustrate this approach using the examples of…

Quantum Physics · Physics 2009-11-10 D. F. Mundarain , J. Stephany

We derive entropic inseparability criteria for the phase space representation of quantum states. In contrast to criteria involving differential entropies of marginal phase space distributions, our criteria are based on a joint distribution…

Quantum Physics · Physics 2022-01-10 Stefan Floerchinger , Martin Gärttner , Tobias Haas , Oliver R. Stockdale

Similar in spirit to the preceding work [Opt. Commun. 282 (2009) 3734] where the relation between optical Fresnel transformation and quantum tomography is revealed, we study this kind of relationship in the two-mode entangled case. We show…

Quantum Physics · Physics 2009-11-10 Hong-yi Fan , Li-yun Hu

The phase space representation for a semiconfined harmonic oscillator model with a position-dependent effective mass is constructed. We have found the Husimi distribution function for the stationary states of the oscillator model under…

Quantum Physics · Physics 2022-11-24 E. I. Jafarov , A. M. Jafarova , S. M. Nagiyev

We study the efficiency of quantum algorithms which aim at obtaining phase space distribution functions of quantum systems. Wigner and Husimi functions are considered. Different quantum algorithms are envisioned to build these functions,…

Quantum Physics · Physics 2007-05-23 M. Terraneo , B. Georgeot , D. L. Shepelyansky

We are concerned with a phase-space probability distribution which is known as Husimi $Q$-function of a density operator with respect to a set of coherent states $\vert\widetilde{\kappa}_{z,B,R,m}\rangle$ attached to an $m$th hyperbolic…

Mathematical Physics · Physics 2022-03-14 Z. Mouayn , H. Chhaiba , H. Kassogue , P. K. Kikodio

We consider generalized Husimi distributions for many-body systems, and show that their moments are good measures of complexity of many-body quantum states. Our construction of the Husimi distribution is based on the coherent state of the…

Chaotic Dynamics · Physics 2009-11-07 Ayumu Sugita

We develop the Husimi map for visualizing quantum wavefunctions using coherent states as a measurement of the local phase space to produce a vector field related to the probability flux. Adapted from the Husimi projection, the Husimi map is…

Mesoscale and Nanoscale Physics · Physics 2012-05-17 Douglas J. Mason , Mario F. Borunda , Eric J. Heller

We prove a general class of continuous variable entanglement criteria based on the Husimi $Q$-distribution, which represents a quantum state in canonical phase space, by employing a theorem by Lieb and Solovej. We discuss their generality,…

Quantum Physics · Physics 2024-01-17 Martin Gärttner , Tobias Haas , Johannes Noll

In this study, we compare the Wigner function $W$, its modulus, and the Husimi distribution $H$ in a one-dimensional quantum system exhibiting a transition from a single-well to a double-well configuration, using the quasi-exactly solvable…

Quantum Physics · Physics 2025-12-09 Angelina N. Mendoza Tavera , Adrian M. Escobar Ruiz , Robin P. Sagar

We propose the second moment of the Husimi distribution as a measure of complexity of quantum states. The inverse of this quantity represents the effective volume in phase space occupied by the Husimi distribution, and has a good…

Chaotic Dynamics · Physics 2009-11-07 Ayumu Sugita , Hirokazu Aiba

The Husimi distribution is proposed for a phase space analysis of quantum phase transitions in the two-dimensional $U(3)$ vibron model for $N$-size molecules. We show that the inverse participation ratio and Wehrl's entropy of the Husimi…

Quantum Physics · Physics 2014-09-22 M. Calixto , R. del Real , E. Romera

Husimi functions allow one to obtain sensible and useful phase space probability distributions from quantumechanical wavefunctions or classical wave fields, linking them to (semi-)classical methods and intuition. They have been used in…

Mesoscale and Nanoscale Physics · Physics 2019-12-11 George Datseris , Ragnar Fleischmann

We study the evolution of the hybrid entangled states in a bipartite (ultra) strongly coupled qubit-oscillator system. Using the generalized rotating wave approximation the reduced density matrices of the qubit and the oscillator are…

Quantum Physics · Physics 2016-04-20 R. Chakrabarti , V. Yogesh

Reconfigurable distribution of entangled states is essential for operation of quantum networks connecting multiple devices such as quantum memories and quantum computers. We introduce new quantum distribution network architecture enabling…

Quantum Physics · Physics 2021-08-05 Shuto Osawa , David S. Simon , Vladimir S. Malinovsky , Alexander V. Sergienko

The reliable distribution of high-dimensional entangled quantum states, an important resource in quantum technologies, through optical fibre networks is challenging due to the need to maintain coherence across multiple modes. Here we…

The Husimi phase distribution, an experimentally measurable quantity, is investigated for single-mode and two-mode squeezed vacuum states. The analysis highlights that non-Gaussian operations, i.e., photon subtraction (PS), photon addition…

Quantum Physics · Physics 2025-07-23 Ramniwas Meena , Chandan Kumar , Subhashish Banerjee

The intensity distribution of the Husimi function (HF) and the squared modulus of the Wigner function (WF) are detected in the phase space of an astigmatic optical processor. These results, obtained in the laboratory, are compared against…

Optics · Physics 2015-12-29 J. R. Moya-Cessa , L. R. Berriel-Valdos , H. M. Moya-Cessa
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