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We consider the dynamics of a quantum directional reference frame undergoing repeated interactions. We first describe how a precise sequence of measurement outcomes affects the reference frame, looking at both the case that the measurement…

Quantum Physics · Physics 2010-10-12 Mehdi Ahmadi , David Jennings , Terry Rudolph

Recently proposed local-correlation-driven pairing mechanism, describing ferromagnetic phases (FM1 and FM2) coexisting with spin-triplet superconductivity (SC) within a single orbitally degenerate Anderson lattice model, is extended to the…

Strongly Correlated Electrons · Physics 2019-05-15 M. Fidrysiak , D. Goc-Jagło , E. Kądzielawa-Major , P. Kubiczek , J. Spałek

In this study we consider the Hamiltonian approach for the construction of a map for a system with nonlinear resonant interaction, including phase trapping and phase bunching effects. We derive basic equations for a single resonant…

We generalize the Schrieffer-Wolff transformation to periodically driven systems using Floquet theory. The method is applied to the periodically driven, strongly interacting Fermi-Hubbard model, for which we identify two regimes resulting…

Quantum Gases · Physics 2016-03-29 Marin Bukov , Michael Kolodrubetz , Anatoli Polkovnikov

The analysis of the time-frequency content of a signal is a classical problem in signal processing, with a broad number of applications in real life. Many different approaches have been developed over the decades, which provide alternative…

Numerical Analysis · Mathematics 2022-06-02 Antonio Cicone , Wing Suet Li , Haomin Zhou

The effective spin Hamiltonian method is widely adopted to simulate and understand the behavior of magnetism. However, the magnetic interactions of some systems, such as itinerant magnets, are too complex to be described by any explicit…

Materials Science · Physics 2022-05-20 Hongyu Yu , Changsong Xu , Feng Lou , L. Bellaiche , Zhenpeng Hu , Xingao Gong , Hongjun Xiang

A collective spin model is used to describe two species of mutually interacting ultracold bosonic atoms confined to a toroidal trap. The system is modeled by a Hamiltonian that can be split into two components, a linear part and a quadratic…

Quantum Gases · Physics 2024-06-05 Allison Brattley , Tomáš Opatrný , Kunal K. Das

Central spin models describe several types of solid state nanostructures which are presently considered as possible building blocks of future quantum information processing hardware. From a theoretical point of view, a key issue remains the…

Mesoscale and Nanoscale Physics · Physics 2012-07-04 Bjoern Erbe , John Schliemann

We critically reexamine the problem of interatomic exchange interactions, which describe the total energy change caused by infinitesimal rotations of spins near some equilibrium state. For the small variations, such interactions can be…

Materials Science · Physics 2021-03-24 I. V. Solovyev

While quantum devices rely on interactions between constituent subsystems and with their environment to operate, native interactions alone often fail to deliver targeted performance. Coherent pulsed control provides the ability to tailor…

Quantum Physics · Physics 2019-03-01 Michael F. O'Keeffe , Lior Horesh , John F. Barry , Danielle A. Braje , Isaac L. Chuang

We consider Mott insulators driven by periodic coherent laser radiation, using both single orbital and multi-orbital models, noting that the latter is of more interest in solid state systems. We derive general expressions for the resulting…

Strongly Correlated Electrons · Physics 2019-05-15 Kasra Hejazi , Jianpeng Liu , Leon Balents

A combined analytical and numerical study is performed of the mapping between strongly interacting fermions and weakly interacting spins, in the framework of the Hubbard, t-J and Heisenberg models. While for spatially homogeneous models in…

Strongly Correlated Electrons · Physics 2010-10-15 Vivian V. França , Klaus Capelle

A spin Hamiltonian, which characterizes interatomic interactions between spin moments, is highly valuable in predicting and comprehending the magnetic properties of materials. A deeper understanding of the microscopic origin of magnetic…

We theoretically investigate interactions between non-degenerate mechanical oscillators mediated by a time-dependent cavity field. We obtain a reduced master equation valid for all optomechanical systems operating in the weak coupling…

Quantum Physics · Physics 2015-07-16 L. F. Buchmann , D. M. Stamper-Kurn

Spectroscopic labels for a few particles with spin that are harmonically trapped in one-dimension with effectively zero-range interactions are provided by quantum numbers that characterize the symmetries of the Hamiltonian: permutations of…

Quantum Physics · Physics 2014-05-28 N. L. Harshman

We present a new experimental investigation of the NMR free induction decay (FID) in a lattice of spin-1/2 nuclei in a strong Zeeman field. Following a pi/2 pulse, evolution under the secular dipolar Hamiltonian preserves coherence number…

Other Condensed Matter · Physics 2007-05-23 HyungJoon Cho , Thaddeus D. Ladd , Jonathan Baugh , David G. Cory , Chandrasekhar Ramanathan

A strongly spin-orbital coupled systems could be in a magnetic ordered phase at zero field. However, a Zeeman field could drive it into different quantum or topological phases. In this work, starting from general symmetry principle, we…

Strongly Correlated Electrons · Physics 2021-01-01 Fadi Sun , Jinwu Ye

Spin-orbit (SO) interactions in two dimensional systems split the Fermi surface, and allow for the spatial separation of spin-states via transverse magnetic focusing (TMF). In this work, we consider the case of combined Rashba and Zeeman…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 Samuel S. R. Bladwell , Oleg P. Sushkov

The precise control of complex quantum mechanical systems can unlock applications ranging from quantum simulation to quantum computation. Controlling strongly interacting many-body systems often relies on Floquet Hamiltonian engineering…

Quantum Physics · Physics 2023-11-29 Andrew Stasiuk , Pai Peng , Garrett Heller , Paola Cappellaro

We analyze several ground state related properties of mesoscopic systems using the random interaction matrix model EGOE(1+2)-$\cs$ (or RIMM) for many fermion systems with spin degree of freedom and the Hamiltonian containing pairing and…

Mesoscale and Nanoscale Physics · Physics 2010-04-19 Manan Vyas