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The geometric phases for standard coherent states which are widely used in quantum optics have attracted a large amount of attention. Nevertheless, few physicists consider about the counterparts of non-linear coherent states, which are…

量子物理 · 物理学 2011-05-24 Da-Bao Yang , Ying Chen , Fu-Lin Zhang , Jing-Ling Chen

We report the experimental observation of the nonlocal geometric phase in Hanbury Brown-Twiss polarized intensity interferometry. The experiment involves two independent, polar- ized, incoherent sources, illuminating two polarized…

We review recent developments in the research of nonlinear and nonequilibrium phenomena in solids focusing on their geometrical aspects. We start with introducing the basic concepts of geometrical phases of Bloch electrons and Floquet…

介观与纳米尺度物理 · 物理学 2023-06-23 Takahiro Morimoto , Sota Kitamura , Naoto Nagaosa

Geometric phases play a central role in a variety of quantum phenomena, especially in condensed matter physics. Recently, it was shown that this fundamental concept exhibits a connection to quantum phase transitions where the system…

量子物理 · 物理学 2015-05-20 Xinhua Peng , Sanfeng Wu , Jun Li , Dieter Suter , Jiangfeng Du

We show that a noncyclic phase of geometric origin has to be included in the approximate adiabatic wave function. The adiabatic noncyclic geometric phase for systems exhibiting a conical intersection as well as for an Aharonov-Bohm…

量子物理 · 物理学 2009-10-31 Gonzalo Garcia de Polavieja , Erik Sjoeqvist

A simple non-interferometric approach for probing the geometric phase of a structured Gaussian beam is proposed. Both the Gouy and Pancharatnam-Berry phases can be determined from the intensity distribution following a mode transformation…

The geometric phases of cyclic evolutions for mixed states are discussed in the framework of unitary evolution. A canonical one-form is defined whose line integral gives the geometric phase which is gauge invariant. It reduces to the…

量子物理 · 物理学 2007-05-23 Li-Bin Fu , Jing-Ling Chen

Geometric phases, arising from cyclic evolutions in a curved parameter space, appear in a wealth of physical settings. Recently, and largely motivated by the need of an experimentally realistic definition for quantum computing applications,…

量子物理 · 物理学 2011-02-04 F. M. Cucchietti , J. -F. Zhang , F. C. Lombardo , P. I. Villar , R. Laflamme

A kinematic approach to the geometric phase for mixed quantal states in nonunitary evolution is proposed. This phase is manifestly gauge invariant and can be experimentally tested in interferometry. It leads to well-known results when the…

量子物理 · 物理学 2016-08-16 D. M. Tong , E. Sjöqvist , L. C. Kwek , C. H. Oh

The geometric phases of the cyclic states of a generalized harmonic oscillator with nonadiabatic time-periodic parameters are discussed in the framework of squeezed state. It is shown that the cyclic and quasicyclic squeezed states…

量子物理 · 物理学 2009-10-31 Jie Liu , Bambi Hu , Baowen Li

Using a kinematic approach we show that the non-adiabatic, non-cyclic, geometric phase corresponding to the radiation emitted by a three level cascade system provides a sensitive diagnostic tool for determining the entanglement properties…

量子物理 · 物理学 2015-05-27 S. N. Sandhya , Subhashish Banerjee

Neutron spin can be coupled to the Earth's rotating frequency. Once if the Earth's rotating frequency is time-dependent, then the neutron will acquire a Berry's topological phase (cyclic adiabatic geometric phase). So, a potential method to…

地球物理 · 物理学 2007-05-23 Jian-Qi Shen

We experimentally observed nonlinear variations in the three-vertex geometric phase in a two- photon polarization qutrit. The three-vertex geometric phase is defined by three quantum states, which generally forms a three-state (qutrit)…

量子物理 · 物理学 2015-06-19 Kazuhisa Ogawa , Shuhei Tamate , Hirokazu Kobayashi , Toshihiro Nakanishi , Masao Kitano

We calculate the geometric phase for an open system (spin-boson model) which interacts with an environment (ohmic or nonohmic) at arbitrary temperature. However there have been many assumptions about the time scale at which the geometric…

量子物理 · 物理学 2009-11-13 Fernando C. Lombardo , Paula I. Villar

We calculate the geometric phase associated with the time evolution of the wave function of a Bose-Einstein condensate system in a double-well trap by using a model for tunneling between the wells. For a cyclic evolution, this phase is…

量子物理 · 物理学 2009-09-29 Radha Balakrishnan , Mitaxi Mehta

Geometric phases, which accompany the evolution of a quantum system and depend only on its trajectory in state space, are commonly studied in two-level systems. Here, however, we study the adiabatic geometric phase in a weakly anharmonic…

量子物理 · 物理学 2012-06-08 S. Berger , M. Pechal , S. Pugnetti , A. A. Abdumalikov , L. Steffen , A. Fedorov , A. Wallraff , S. Filipp

We illustrate how geometric gauge forces and topological phase effects emerge in quantum systems without employing assumptions that rely on adiabaticity. We show how geometric magnetism may be harnessed to engineer novel quantum devices…

量子物理 · 物理学 2015-10-28 Bernard Zygelman

We illustrate a reverse Von Neumann measurement scheme in which a geometric phase induced on a quantum harmonic oscillator is measured using a microscopic qubit as a probe. We show how such a phase, generated by a cyclic evolution in the…

量子物理 · 物理学 2015-05-30 G. Vacanti , R. Fazio , M. S. Kim , G. M. Palma , M. Paternostro , V. Vedral

The study of geometric phase in quantum mechanics has so far be confined to discrete (or continuous) spectra and trace preserving evolutions. Consider only the transmission channel, a scattering process with internal degrees of freedom is…

量子物理 · 物理学 2013-05-29 H. D. Liu , X. X. Yi

Geometric phase has been proposed as one of the promising methodologies to perform fault tolerant quantum computations. However, since decoherence plays a crucial role in such studies, understanding of mixed state geometric phase has become…

量子物理 · 物理学 2009-11-11 Arindam Ghosh , Anil Kumar