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We have performed a systematic calculation for the non-Markovian dynamics of a localized electron spin interacting with an environment of nuclear spins via the Fermi contact hyperfine interaction. This work applies to an electron in the s…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 W. A. Coish , Daniel Loss

We study a method to simulate quantum many-body dynamics of spin ensembles using measurement-based feedback. By performing a weak collective measurement on a large ensemble of two-level quantum systems and applying global rotations…

Quantum Physics · Physics 2020-03-25 Manuel H. Muñoz-Arias , Pablo M. Poggi , Poul S. Jessen , Ivan H. Deutsch

We investigate low-energy properties of two-dimensional quantum spin systems with the ladder and plaquette structures, which are described by a generalized antiferromagnetic Heisenberg model with both of the bond and spin alternations. By…

Strongly Correlated Electrons · Physics 2009-10-31 A. Koga , S. Kumada , N. Kawakami

The quantization of classical theories that admit more than one Hamiltonian description is considered. This is done from a geometrical viewpoint, both at the quantization level (geometric quantization) and at the level of the dynamics of…

General Relativity and Quantum Cosmology · Physics 2012-08-27 Alejandro Corichi , Michael P. Ryan,

We introduce an exact open system method to describe the dynamics of quantum systems that are strongly coupled to specific types of environments comprising of spins, such as central spin systems. Our theory is similar to the established…

Quantum Physics · Physics 2023-09-06 Valentin Link , Kimmo Luoma , Walter T. Strunz

Inspired by path integral molecular dynamics, we build a spin model, in terms of spin coherent states, from which we can compute the quantum expectation values of a spin in a constant magnetic field, at finite temperature. This formulation…

Materials Science · Physics 2023-11-02 Thomas Nussle , Stam Nicolis , Joseph Barker

We systematically characterize the dynamical evolution of time-parity (PT )-symmetric two-level systems with spin-dependent dissipations. If the control parameters of the gap are linearly tuned with time, the dynamical evolution can be…

Quantum Physics · Physics 2026-01-21 Jian-Song Pan , Fan Wu

In an effort to provide an alternative method to represent a quantum spin, a precise nonlinear dynamics semi-classical model is used to show that standard quantum spin analysis can be obtained. The model includes a multi-body,…

Quantum Physics · Physics 2018-11-08 Joshua J. Heiner , Harry C. Shaw , David R. Thayer , Joshua D. Bodyfelt

A variational approach based on the multi-coherent-state ansatz with asymmetric parameters is employed to study the ground state of the spin-boson model. Without any artificial approximations except for the finite number of the coherent…

Quantum Gases · Physics 2014-12-22 Liwei Duan , Shu He , Qing-Hu Chen

Using the coupled cluster method (CCM) we study the full (zero-temperature) ground-state (GS) phase diagram of a spin-half ($s=1/2$) $J_{1}$-$J_{2}$ Heisenberg model on a cross-striped square lattice. Each site of the square lattice has 4…

Strongly Correlated Electrons · Physics 2014-01-10 R. F. Bishop , P. H. Y. Li , C. E. Campbell

This monograph introduces an exact model for a critical spin chain with arbitrary spin S, which includes the Haldane--Shastry model as the special case S=1/2. While spinons in the Haldane--Shastry model obey abelian half-fermi statistics,…

Strongly Correlated Electrons · Physics 2011-09-29 Martin Greiter

The violation of detailed balance poses a serious problem for the majority of current quasiclassical methods for simulating nonadiabatic dynamics. In order to analyze the severity of the problem, we predict the long-time limits of the…

Quantum Physics · Physics 2023-11-20 Graziano Amati , Jonathan R. Mannouch , Jeremy O. Richardson

We introduce equations of motion for a parity-violating fermionic mean-field theory (PV-FMFT): a numerically efficient fermionic mean-field theory based on parity-violating fermionic Gaussian states (PV-FGS). This work provides explicit…

Strongly Correlated Electrons · Physics 2026-01-21 Michael Kaicher , Joseph Vovrosh , Alexandre Dauphin , Simon B. Jäger

Constructing a classical mechanical system associated with a given quantum mechanical one, entails construction of a classical phase space and a corresponding Hamiltonian function from the available quantum structures and a notion of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ghanashyam Date

The fully nonlinear dynamics of spin and charge in spin-Calogero model is studied. The latter is an integrable one-dimensional model of quantum spin-1/2 particles interacting through inverse-square interaction and exchange. Classical…

Strongly Correlated Electrons · Physics 2009-11-14 M. Kulkarni , F. Franchini , A. G. Abanov

Simulating quantum spin systems at finite temperatures is an open challenge in many-body physics. This work studies the temperature-dependent spin dynamics of a pivotal compound, FeI$_2$, to determine if universal quantum effects can be…

Strongly Correlated Electrons · Physics 2023-11-01 D. Dahlbom , D. Brooks , M. S. Wilson , S. Chi , A. I. Kolesnikov , M. B. Stone , H. Cao , Y. -W. Li , K. Barros , M. Mourigal , C. D. Batista , X. Bai

We investigate the classical-quantum correspondence of non-Hermitian Spin-orbit (SO)-coupled bosonic junctions, where an effective decay term is introduced in one of the two wells. Starting from the normalized two-point functions, we…

Quantum Physics · Physics 2024-10-21 Xin Yan , Hongzheng Wu , Changwei Fan , Baiyuan Yang , Yu Guo , Xiaobing Luo , Jinpeng Xiao , Zhao-Yun Zeng

We introduce a new spin-fermion mapping, for arbitrary spin $S$ generating the SU(2) group algebra, that constitutes a natural generalization of the Jordan-Wigner transformation for $S=1/2$. The mapping, valid for regular lattices in any…

Strongly Correlated Electrons · Physics 2009-10-31 C. D. Batista , G. Ortiz

We use the spin-boson model to describe the dynamics of a two-level atom interacting with Fabry-P\'erot cavity modes. We solve the Schr\"odinger equation for the system-bath model without the Born-Markov approximation to derive the…

The dynamics of a central spin-1/2 in presence of a local magnetic field and a bath of N spin-1/2 particles is studied in the thermodynamic limit. The interaction between the spins is Heisenberg XY type and the bath is considered to be a…

Quantum Physics · Physics 2008-11-26 J. Rodríguez Garzón , R. M. Gutiérrez