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We introduce a connection between entanglement induced by interaction and geometric phases acquired by a composite quantum spin system. We begin by analyzing the evaluation of cyclic (Aharonov-Anandan) and non-cyclic (Mukunda-Simon)…

Quantum Physics · Physics 2011-05-03 C. S. Castro , M. S. Sarandy

Due to their robustness, the implementation of geometric phases provides a reliable and controllable way to manipulate the phase of a spin wave, thereby paving the way towards functional magnonics-based data processing devices. Moreover,…

Mesoscale and Nanoscale Physics · Physics 2025-09-19 Tomas T. Osterholt , Pieter M. Gunnink , Rembert A. Duine

The spin in a rotating frame has attracted a lot of attentions recently, as it deeply relates to both fundamental physics such as pseudo-magnetic field and geometric phase, and applications such as gyroscopic sensors. However, previous…

Quantum Physics · Physics 2019-04-02 Xing-Yan Chen , Tongcang Li , Zhang-qi Yin

Magnetometry is a powerful technique for the non-invasive study of biological and physical systems. A key challenge lies in the simultaneous optimization of magnetic field sensitivity and maximum field range. In interferometry-based…

Fast quantum spin manipulation is needed to design spin-based quantum logic gates and other quantum applications. Here, we construct exact evolution operator of the nitrogen-vacancy-center (NV) spin in diamond under external magnetic fields…

Mesoscale and Nanoscale Physics · Physics 2017-08-25 Wen-Qi Fang , Bang-Gui Liu

The (Berry-Aharonov-Anandan) geometric phase acquired during a cyclic quantum evolution of finite-dimensional quantum systems is studied. It is shown that a pure quantum state in a (2J+1)-dimensional Hilbert space (or, equivalently, of a…

Quantum Physics · Physics 2012-06-14 Patrick Bruno

The ground state spin of the negatively charged nitrogen-vacancy center in diamond has many exciting applications in quantum metrology and solid state quantum information processing, including magnetometry, electrometry, quantum memory and…

Materials Science · Physics 2012-06-05 M. W. Doherty , F. Dolde , H. Fedder , F. Jelezko , J. Wrachtrup , N. B. Manson , L. C. L. Hollenberg

We study the scattering phase shift of Dirac fermions at graphene edge. We find that when a plane wave of a Dirac fermion is reflected at an edge of graphene, its reflection phase is shifted by the geometric phase resulting from the change…

Mesoscale and Nanoscale Physics · Physics 2018-08-28 Sang-Jun Choi , Sunghun Park , H. -S. Sim

Understanding the dynamics of a quantum bit's environment is essential for the realization of practical systems for quantum information processing and metrology. We use single nitrogen-vacancy (NV) centers in diamond to study the dynamics…

We demonstrate that the internal magnetic states of a single nitrogen-vacancy defect, within a rotating diamond crystal, acquire geometric phases. The geometric phase shift is manifest as a relative phase between components of a…

Quantum Physics · Physics 2015-06-04 D. Maclaurin , M. W. Doherty , L. C. L. Hollenberg , A. M. Martin

A single Nitrogen Vacancy (NV) center hosted in a diamond nanocrystal is positioned at the extremity of a SiC nanowire. This novel hybrid system couples the degrees of freedom of two radically different systems, i.e. a nanomechanical…

Mesoscale and Nanoscale Physics · Physics 2011-12-07 Olivier Arcizet , Vincent Jacques , Alessandro Siria , Philippe Poncharal , Pascal Vincent , Signe Seidelin

We investigate the spin dynamics of a Nitrogen-Vacancy (NV) center contained in an individual diamond nanocrystal in the presence of continuous microwave excitation. Upon periodic reversal of the microwave phase, we observe a train of…

Mesoscale and Nanoscale Physics · Physics 2011-10-12 Abdelghani Laraoui , Carlos A. Meriles

We examine the effect of spin-orbit coupling on geometric phases in hydrogenlike atoms exposed to a slowly varying magnetic field. The marginal geometric phases associated with the orbital angular momentum and the intrinsic spin fulfill a…

Quantum Physics · Physics 2016-08-16 Erik Sjöqvist , X. X. Yi , J. Åberg

A nanodiamond with an embedded nitrogen-vacancy (NV) center is one of the experimental systems that can be coherently manipulated within current technologies. Entanglement between NV center electron spin and mechanical rotation of the…

Quantum Physics · Physics 2023-06-06 Wen-Liang Li , D. L. Zhou

The interaction of solid-state electronic spins with deformations of their host crystal is an important ingredient in many experiments realizing quantum information processing schemes. Here, we theoretically characterize that interaction…

Mesoscale and Nanoscale Physics · Physics 2018-08-08 Péter Udvarhelyi , Vladyslav O. Shkolnikov , Adam Gali , Guido Burkard , András Pályi

We derive a formula of the nonadiabatic noncyclic Pancharatnam phase for a quantum spin-1/2 particle subject to an arbitrary magnetic field. The formula is applied to three specific kinds of magneic fields. (i) For an orientated magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Shi-Liang Zhu , Z. D. Wang , Yong-Dong Zhang

The neutral charge state plays an important role in quantum information and sensing applications based on nitrogen-vacancy centers. However, the orbital and spin dynamics remain unexplored. Here, we use resonant excitation of single centers…

Quantum Physics · Physics 2020-11-11 S. Baier , C. E. Bradley , T. Middelburg , V. V. Dobrovitski , T. H. Taminiau , R. Hanson

In the system of several interacting spins, geometric phases have been researched intensively.However, the studies are mainly focused on the adiabatic case (Berry phase), so it is necessary for us to study the non-adiabatic counterpart…

Quantum Physics · Physics 2015-05-19 Da-Bao Yang , Jing-Ling Chen

A comprehensive description of the optical cycle of spin defects in solids requires the understanding of the electronic and atomistic structure of states with different spin multiplicity, including singlet states which are particularly…

Materials Science · Physics 2022-08-10 Yu Jin , Marco Govoni , Giulia Galli

In this paper a geometric phase of the Kitaev honeycomb model is derived and proposed to characterize the topological quantum phase transition. The simultaneous rotation of two spins is crucial to generate the geometric phase for the…

Strongly Correlated Electrons · Physics 2012-06-25 Jinling Lian , J. -Q. Liang , Gang Chen
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