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This paper reviews quantum spin squeezing, which characterizes the sensitivity of a state with respect to an SU(2) rotation, and is significant for both entanglement detection and high-precision metrology. We first present various…

Quantum Physics · Physics 2011-11-29 Jian Ma , Xiaoguang Wang , C. P. Sun , Franco Nori

In this paper, we construct and analyze a class of squeezed coherent states within the framework of supersymmetric quantum mechanics (SUSYQM) involving a position-dependent mass (PDM). Using a deformed algebraic structure, we generalize the…

Quantum Physics · Physics 2025-08-12 Daniel Sabi Takou , Amidou Boukari , Assimiou Yarou Mora , Gabriel Y. H. Avossevou

The star product and Moyal bracket are introduced using the coherent states corresponding to quantum systems with non-linear spectra. Two kinds of coherent state are considered. The first kind is the set of Gazeau-Klauder coherent states…

Mathematical Physics · Physics 2009-11-10 M. Daoud , E. H. El Kinani

It is shown that stochastic processes of diffusion type possess, in all generality, a structure of uncertainty relations and of coherent and squeezed states. This fact is used to obtain, via Nelson stochastic formulation of quantum…

Condensed Matter · Physics 2009-10-22 S. De Martino , S. De Siena , F. Illuminati , G. Vitiello

Optimal phase estimation of a phase-squeezed quantum state of light has been recently shown to beat the coherent-state limit. Here, the estimation is made robust to uncertainties in underlying parameters using a robust fixed-interval…

Quantum Physics · Physics 2015-09-14 Shibdas Roy , Ian R. Petersen , Elanor H. Huntington

The fractal character of some quantum properties has been shown for systems described by continuous variables. Here, a definition of quantum fractal states is given that suits the discrete systems used in quantum information processing,…

Quantum Physics · Physics 2007-08-03 Gregg Jaeger

In this paper, we construct the coherent states for a system of an electron moving on plane in uniform external magnetic and electric fields. These coherent states are built in the context of both discrete and continuous spectra and satisfy…

Mathematical Physics · Physics 2021-12-21 Isiaka Aremua , Laure Gouba

We construct new integrable systems describing particles with internal spin from four-dimensional $\mathcal{N}=2$ quiver gauge theories. The models can be quantized and solved exactly using the quantum inverse scattering method and also…

High Energy Physics - Theory · Physics 2017-02-27 Nick Dorey , Peng Zhao

We study the application of squeezed states in a quantum optical scheme for direct sampling of the phase space by photon counting. We prove that the detection setup with a squeezed coherent probe field is equivalent to the probing of the…

Optics · Physics 2015-06-26 Konrad Banaszek , Krzysztof Wodkiewicz

Using the Klauder approach the stable evolution of generalized coherent states (GCS) for some groups (SU(2), SU(1,1) and SU(N)) is considered and it is shown that one and the same classical solution z(t) can correctly characterize the…

Quantum Physics · Physics 2007-05-23 B. A. Nikolov , D. A. Trifonov

While dealing with a Hamiltonian with continuous spectrum we use a tridiagonal method involving orthogonal polynomials to construct a set of coherent states obeying a Glauber-type condition. We perform a Bayesian decomposition of the weight…

Mathematical Physics · Physics 2021-07-07 Zouhair Mouayn , Hashim A. Yamani

I discuss the concept of quasi-state decompositions for ground states and equilibrium states of quantum spin systems. Some recent results on the ground states of a class of one-dimensional quantum spin models are summarized and new work in…

Condensed Matter · Physics 2008-02-03 Bruno Nachtergaele

We initiate an investigation into a notion of state complexity for discrete-variable quantum systems. Specifically, we propose an information-theoretic quantifier for the complexity of quantum states within the stabilizer formalism of…

Quantum Physics · Physics 2026-04-23 Shuangshuang Fu , Shunlong Luo , Yue Zhang

Gaussian Klauder coherent states are discussed in the context of the infinite well quantum model, otherwise known as the particle in a box. A supersymmetric partner system is also presented, as well as a construction of coherent states in…

Mathematical Physics · Physics 2015-03-26 Marc-Antoine Fiset , Véronique Hussin

We study the dissipative preparation of many-body entangled Gaussian states in bosonic lattice models which could be relevant for quantum technology applications. We assume minimal resources, represented by systems described by…

Quantum Physics · Physics 2021-03-04 Stefano Zippilli , David Vitali

While the objective of conventional quantum key distribution (QKD) is to secretly generate and share the classical bits concealed in the form of maximally mixed quantum states, that of private quantum channel (PQC) is to secretly transmit…

Quantum Physics · Physics 2015-09-15 Kabgyun Jeong , Jaewan Kim , Su-Yong Lee

We present a general framework for the production of squeezed quantum states of the gravitational field in linearized quantum gravity. Time-dependent couplings in the quadratic part of the action generically produce squeezed states from the…

General Relativity and Quantum Cosmology · Physics 2025-12-24 Arunima Das , Maulik Parikh , Frank Wilczek , Raphaela Wutte

The theory of controlled quantum open systems describes quantum systems interacting with quantum environments and influenced by external forces varying according to given algorithms. It is aimed, for instance, to model quantum devices which…

Quantum Physics · Physics 2022-09-21 Robert Alicki

Generalized coherent states for shape invariant potentials are constructed using an algebraic approach based on supersymmetric quantum mechanics. We show this generalized formalism is able to: a) supply the essential requirements necessary…

Quantum Physics · Physics 2008-11-26 A. N. F. Aleixo , A. B. Balantekin

This contribution to the present Workshop Proceedings outlines a general programme for identifying geometric structures--out of which to possibly recover quantum dynamics as well--associated to the manifold in Hilbert space of the quantum…

Quantum Physics · Physics 2018-06-28 Jan Govaerts