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Effect of quantum fluctuations concerned with the orbital degrees of freedom is discussed for the model with SU(4) symmetry in one dimension. An effective Hamiltonian is derived from the orbitally degenerate Hubbard model at quarter…

Strongly Correlated Electrons · Physics 2009-10-31 Yasufumi Yamashita , Naokazu Shibata , Kazuo Ueda

We study the dynamical generation of entanglement for a very simple system: a pair of interacting spins, s1 and s2, in a constant magnetic field. Two different situations are considered:(a) s1 ->\infty, s2 = 1/2 and (b) s1 = s2 ->\infty,…

Quantum Physics · Physics 2009-11-11 Marcel Novaes

The Schwinger's representation of angular momentum(AM) relates two important fundamental models, that of AM and that of harmonic oscillator(HO). However, the representation offers only the relations of operators but not states. Here, by…

Mathematical Physics · Physics 2014-05-20 Yitian Ding , Miaomiao Xu

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

In this work, we consider two spins initially prepared in a product of coherent states and study their entanglement dynamics due to a general interacting Hamiltonian. We adopt an approach that allowed the derivation of a semiclassical…

Quantum Physics · Physics 2021-11-03 Matheus V. Scherer , Alexandre D. Ribeiro

We analyze a model for spin squeezing based on the so-called counter-twisting Hamiltonian, including the effects of dissipation and finite system size. We discuss the conditions under which the Heisenberg limit, i.e. phase sensitivity…

Quantum Physics · Physics 2009-11-07 A. André , M. D. Lukin

Coherent many-body quantum dynamics lies at the heart of quantum simulation and quantum computation. Both require coherent evolution in the exponentially large Hilbert space of an interacting many-body system. To date, trapped ions have…

Collective spin operators for symmetric multi-quDit (namely, identical $D$-level atom) systems generate a U$(D)$ symmetry. We explore generalizations to arbitrary $D$ of SU(2)-spin coherent states and their adaptation to parity…

Quantum Physics · Physics 2021-11-30 Manuel Calixto , Alberto Mayorgas , Julio Guerrero

Central spin models, where a single spinful particle interacts with a spin environment, find wide application in quantum information technology and can be used to describe, e.g., the decoherence of a qubit over time. We propose a method of…

Quantum Physics · Physics 2023-11-30 Jacek Dobrzyniecki , Michał Tomza

Maintaining coherence of a qubit is of vital importance for realizing a large-scale quantum computer in practice. In this work, we study the central spin decoherence problem in the $XXX$ central spin model (CSM) and focus on the quantum…

Quantum Physics · Physics 2020-11-10 Qing-Kun Wan , Hai-Long Shi , Xu Zhou , Xiao-Hui Wang , Wen-Li Yang

We study the non-equilibrium dynamics of a quantum spin 1/2 XXZ model confined in a two-dimensional bi-layer system, with couplings mediated by inverse power-law interactions, falling off with distance $r$ as $1/r^{\alpha}$, and…

Quantum Physics · Physics 2024-06-27 Arman Duha , Thomas Bilitewski

Entanglement in a many-particle system can enable measurement sensitivities beyond that achievable by only classical correlations. For an ensemble of spins, all-to-all interactions are known to reshape the quantum projection noise, leading…

The spin-dynamics of two alkali atoms in an optical tweezer is driven by spin-changing collisions that couple the spin-state of the atoms to their relative motion. This paper experimentally studies the resulting spin-states when the…

Spin squeezed states are a class of entangled states of spins that have practical applications to precision measurements. In recent years spin squeezing with one-axis twisting (OAT) has been demonstrated experimentally with spinor BECs with…

Quantum Physics · Physics 2013-05-15 Chao Shen , Luming Duan

We study the quantum dynamics of a single mode/particle interacting inhomogeneously with a large number of particles and introduce an effective approach to find the accessible Hilbert space where the dynamics takes place. Two relevant…

Quantum Physics · Physics 2015-06-26 C. E. Lopez , H. Christ , J. C. Retamal , E. Solano

IBM quantum computers are used to simulate the dynamics of small systems of interacting quantum spins. For time-independent systems with fewer than three spins, we compute the exact time evolution at arbitrary times and measure spin…

Physics Education · Physics 2024-12-24 Jarrett L. Lancaster , D. Brysen Allen

The exact quantum dynamics of the reduced density matrix of two coupled spin qubits in a quantum Heisenberg XY spin star environment in the thermodynamic limit at arbitrarily finite temperatures is obtained using a novel operator technique.…

Other Condensed Matter · Physics 2009-11-11 Xiao-Zhong Yuan , Hsi-Sheng Goan , Ka-Di Zhu

Frustrated magnets can elude the paradigm of conventional symmetry breaking and instead exhibit signatures of emergent symmetries at low temperatures. Such symmetries arise from "accidental" degeneracies within the ground state manifold and…

Strongly Correlated Electrons · Physics 2025-08-25 Sagar Ramchandani , Simon Trebst , Ciarán Hickey

The one-dimensional Ising model with its connections to several physical concepts plays a vital role in comprehension of several principles, phenomena and numerical methods. The Hamiltonian of a coupled one-dimensional dissipative spin…

We consider the dynamics of a spin-1/2 particle constrained to move in an arbitrary space curve with an external electric and magnetic field applied. With the aid of gauge theory, we successfully decouple the tangential and normal dynamics…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 Guo-Hua Liang , Yong-Long Wang , Meng-Yun Lai , Hao Zhao , Hong-Shi Zong , Hui Liu