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The spin-dependent trial wave functions with rotational symmetry are introduced to describe rotating Wigner molecular states with spin degree of freedom in four- and five-electron quantum dots under magnetic fields. The functions are…

Strongly Correlated Electrons · Physics 2009-11-13 Zhensheng Dai , Jia-Lin Zhu , Ning Yang , Yuquan Wang

We calculate the Wigner quasiprobability distribution function of quantum elliptical vortex in elliptical beam (EEV), produced by coupling squeezed coherent states of two modes. The coupling between the two modes is performed by using beam…

Quantum Physics · Physics 2010-12-02 Abir Bandyopadhyay , Ravindra Pratap Singh

Bohr's model of the hydrogen atom can be extended to account for the observed spin-orbit interaction, either with the introduction of the Thomas precession, or with the stipulation that, during a spin-flip transition, the orbital radius…

Atomic Physics · Physics 2019-09-17 Masud Mansuripur

We study trajectories of collective spin states of an ensemble of spinors. The spinors considered here are either trapped ions in free space or atoms confined in a cavity, both systems of which are engineered through their interactions with…

Quantum Physics · Physics 2021-12-08 Caspar Groiseau , Stuart J. Masson , Scott Parkins

We propose a two-spin quantum-mechanical model with applied magnetic fields acting on the Poincar\'e-Bloch sphere, to reveal a new class of topological energy bands with Chern number one half for each spin-1/2. The mechanism behind this…

Mesoscale and Nanoscale Physics · Physics 2023-02-07 Joel Hutchinson , Karyn Le Hur

We study the Wigner function for massive spin-1/2 fermions in electromagnetic fields. Dirac form kinetic equation and Klein-Gordon form kinetic equation are obtained for the Wigner function, which are derived from the Dirac equation. The…

Nuclear Theory · Physics 2019-12-04 Xin-Li Sheng

We study the Bloch oscillation dynamics of a spin-orbit-coupled cold atomic gas trapped inside a one-dimensioanl optical lattice. The eigenspectra of the system is identified as two interpenetrating Wannier-Stark ladder. Based on that, we…

Quantum Gases · Physics 2019-02-05 Wei Ji , Keye Zhang , Weiping Zhang , Lu Zhou

We numerically investigate the stationary turbulent states of spin-1 Bose-Einstein condensates under continuous spin driving. We analyze the entanglement entropy and magnetization correlation function to demonstrate the isotropic nature of…

Quantum Gases · Physics 2024-03-04 Jong Heum Jung , Junghoon Lee , Jongmin Kim , Yong-il Shin

It is an open fundamental question how the classical appearance of our environment arises from the underlying quantum many-body theory. We propose that phenomena involved in the quantum-to-classical transition can be probed in collisions of…

Quantum Physics · Physics 2024-04-02 A. Sreedharan , S Kuriyattil , S. Choudhury , R. Mukherjee , A. Streltsov , S. Wüster

The quantum state of a system of qubits can be represented by a Wigner function on a discrete phase space, each axis of the phase space taking values in a finite field. Within this framework, we show that one can make sense of the notion of…

Quantum Physics · Physics 2007-05-23 William K. Wootters , Daniel M. Sussman

We explore the formation of Dicke states. A system consisting of two two-level atoms located in the right Rindler wedge, has investigated to determine the conditions under which the superradiant or subradiant state can be formed. The…

Quantum entanglement effects between the electronic spin and charge degrees of freedom are examined in an organic molecular solid, termed a dimer-Mott insulating system, in which molecular dimers are arranged in a crystal as fundamental…

Strongly Correlated Electrons · Physics 2016-05-18 Makoto Naka , Sumio Ishihara

We study the entanglement dynamics in the externally-driven single-mode Dicke model in the thermodynamic limit, when the field is in resonance with the atoms. We compute the correlations in the atoms-field ground state by means of the…

Mesoscale and Nanoscale Physics · Physics 2009-06-30 Victor M. Bastidas , John H. Reina , Tobias Brandes

Exact-diagonalization calculations for N=3 electrons in anisotropic quantum dots, covering a broad range of confinement anisotropies and strength of inter-electron repulsion, are presented for zero and low magnetic fields. The excitation…

Mesoscale and Nanoscale Physics · Physics 2008-01-03 Yuesong Li , Constantine Yannouleas , Uzi Landman

We apply the Wigner function formalism from quantum optics via two approaches, Wootters' discrete Wigner function and the generalized Wigner function, to detect quantum phase transitions in critical spin-$\tfrac{1}{2}$ systems. We develop a…

Quantum Physics · Physics 2019-09-09 Zakaria Mzaouali , Steve Campbell , Morad El Baz

In the presence of strong spin-independent interactions and spin-orbit coupling, we show that the spinor Bose liquid confined to one spatial dimension undergoes an interaction- or density-tuned quantum phase transition similar to one…

Quantum Gases · Physics 2019-05-21 William S. Cole , Junhyun Lee , Khan W. Mahmud , Yahya Alavirad , I. B. Spielman , Jay D. Sau

The adaptation of Wigner's induced representation for a relativistic quantum theory making possible the construction of wavepackets and admitting covariant expectation values for the coordinate operator x^\mu introduces a foliation on the…

Quantum Physics · Physics 2015-06-11 Lawrence Horwitz

Quantum entanglement is a key ingredient for quantum information processing with capabilities beyond that of classical computation. We study the generation and role of entanglement in the dynamics of spin-1/2 models, both for the design of…

Quantum Physics · Physics 2024-06-11 Anupam Mitra

We propose a Wigner function based parameter that can be used as an indicator of quantum chaos. This parameter is defined as "entropy" from the time-dependence of "non-classicallity" proposed in \cite{KZ04}. We perform our considerations…

Quantum Physics · Physics 2012-04-02 A. Kowalewska-Kudłaszyk , J. K. Kalaga , W. Leoński

We consider a quantum simulator of the Heisenberg chain with ferromagnetic interactions based on the two-component 1D Bose-Hubbard model at filling equal to two in the strong coupling regime. The entanglement properties of the ground state…

Quantum Gases · Physics 2019-07-03 Ivan Morera , Artur Polls , Bruno Juliá-Díaz