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We study the Wigner function for a quantum system with a discrete, infinite dimensional Hilbert space, such as a spinless particle moving on a one dimensional infinite lattice. We discuss the peculiarities of this scenario and of the…

Quantum Physics · Physics 2012-10-05 Margarida Hinarejos , A. Pérez , Mari-Carmen Bañuls

Quantum systems whose classical counterparts are chaotic typically have highly correlated eigenvalues and level statistics that coincide with those from ensembles of full random matrices. A dynamical manifestation of these correlations…

Spin states of two-dimensional Wigner clusters are considered at low temperatures, when all electrons are in ground coordinate states. The spin subsystem behavior is determined by antiferromagnetic exchange integrals. The spin states in…

Mesoscale and Nanoscale Physics · Physics 2022-12-08 Mehrdad M. Mahmoodian , M. M. Mahmoodian , M. V. Entin

We study the nonlinear, semiclassical dynamics of an open spin-1 (three-level) variant of the traditional Dicke model. In particular, we focus on V-type energy-level configurations with varying degrees of energy-level asymmetry. We also…

Quantum Physics · Physics 2025-03-14 Ofri Adiv , Bernd Krauskopf , Scott Parkins

We describe an efficient numerical method for simulating the dynamics of interacting spin ensembles in the presence of dephasing and decay. The method builds on the discrete truncated Wigner approximation for isolated systems, which…

Quantum Physics · Physics 2022-02-01 Julian Huber , Ana Maria Rey , Peter Rabl

We propose a picture of Wigner function scars as a sequence of concentric rings along a two-dimensional surface inside a periodic orbit. This is verified for a two-dimensional plane that contains a classical orbit of a Hamiltonian system…

Chaotic Dynamics · Physics 2009-10-31 Fabricio Toscano , Marcus A. M. de Aguiar , Alfredo M. Ozorio de Almeida

We study the time dynamics of a single boson coupled to a bath of two-level systems (spins 1/2) with different excitation energies, described by an inhomogeneous Dicke model. Analyzing the time-dependent Schrodinger equation exactly we find…

Strongly Correlated Electrons · Physics 2015-05-13 Oleksandr Tsyplyatyev , Daniel Loss

The concept of entanglement entropy appears in multiple contexts, from black hole physics to quantum information theory, where it measures the entanglement of quantum states. We investigate the entanglement entropy in a simple model, the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Karyn Le Hur

We consider a class of states in an ensemble of two-level atoms: a superposition of two distinct atomic coherent states, which can be regarded as atomic analogues of the states usually called Schrodinger cat states in quantum optics.…

Quantum Physics · Physics 2009-10-31 M. G. Benedict , A. Czirjak

Using quantum Monte Carlo simulations along with higher-order spin-wave theory, bond-operator and strong-coupling expansions, we analyse the dynamical spin structure factor of the spin-half Heisenberg model on the square-lattice bilayer. We…

Strongly Correlated Electrons · Physics 2016-01-06 M. Lohöfer , T. Coletta , D. G. Joshi , F. F. Assaad , M. Vojta , S. Wessel , F. Mila

We study the constructions of Dicke states of identical particles of spin-$1$, $3/2$ and $2$ in the number representation with given particle number $N$ and magnetic quantum number $M$. The complete bases and corresponding coefficients in…

Quantum Physics · Physics 2015-11-12 Wan-Fang Liu , Zheng-Da Hu

In the large-$N$, classical limit, the Bose-Hubbard dimer undergoes a transition to chaos when its tunnelling rate is modulated in time. We use exact and approximate numerical simulations to determine the features of the dynamically…

Quantum Physics · Physics 2019-07-31 R. A. Kidd , M. K. Olsen , J. F. Corney

We study a spinor (two-component) Bose gas confined in a one-dimensional double-valley optical lattice which has a double-well structure in momentum space. Based on field theory analysis, it is found that spinor bosons in the double-valley…

Quantum Gases · Physics 2017-12-15 Ying-Hai Wu , Xiaopeng Li , S. Das Sarma

We consider interacting electrons in a quantum wire in the case of a shallow confining potential and low electron density. In a certain range of densities, the electrons form a two-row (zigzag) Wigner crystal whose spin properties are…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. D. Klironomos , Julia S. Meyer , T. Hikihara , K. A. Matveev

Ultracold Rydberg atom arrays are an emerging platform for quantum simulation and computing. However, decoherence in these systems remains incompletely understood. Recent experiments [Guardado-Sanchez et al. Phys. Rev. X 8, 021069 (2018)]…

Quantum Gases · Physics 2025-01-27 Zewen Zhang , Ming Yuan , Bhuvanesh Sundar , Kaden R. A. Hazzard

We show how an ion trap, configured for the coherent manipulation of external and internal quantum states, can be used to simulate the irreversible dynamics of a collective angular momentum model known as the Dicke model. In the special…

Quantum Physics · Physics 2013-05-29 S. Schneider , G. J. Milburn

Using the phase-space formulation of quantum mechanics, we derive a four-component Wigner equation for a system composed of spin-1/2 fermions (typically, electrons) including the Zeeman effect and the spin-orbit coupling. This Wigner…

Mesoscale and Nanoscale Physics · Physics 2017-04-12 Jerome Hurst , Paul-Antoine Hervieux , Giovanni Manfredi

The presence of negative values in the Wigner quasiprobability distribution is deemed one of the hallmarks of nonclassical phenomena in quantum systems. Here we demonstrate a classical model of squeezed light that, when combined with…

Quantum Physics · Physics 2026-01-27 Brian R. La Cour

Spin-orbit coupled Bose-Einstein condensates (BECs) provide a powerful tool to investigate interesting gauge-field related phenomena. We study the ground state properties of such a system and show that it can be mapped to the well-known…

Quantum Gases · Physics 2014-12-18 Chris Hamner , Chunlei Qu , Yongping Zhang , JiaJia Chang , Ming Gong , Chuanwei Zhang , Peter Engels

We explore the correlations and entanglements of exact-diagonalized few-electron wave functions in a quantum dot in magnetic fields without the Zeeman splitting. With the increase of the field, the lowest states with different spins…

Strongly Correlated Electrons · Physics 2007-05-23 Ning Yang , Jia-Lin Zhu , Zhengsheng Dai , Yuquan Wang