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This thesis consists of several studies performed over different few-dof quantum systems exposed to the effect of an uncontrolled environment. The primary focus of the work is to explore the relation between decoherence and…

Quantum Physics · Physics 2023-07-11 Ludmila Viotti

The geometric phase is a fundamental quantum mechanical phenomenon uniquely associated with conical intersections (CI) between potential energy surfaces and serves as a definitive signature of their presence. In this study, we propose a…

Optics · Physics 2025-11-13 Yang-Cheng Ye , Fulu Zheng , Ajay Jha , Hong-Guang Duan

We show how a new quantum property, a geometric phase, associated with scattering states can be exhibited in nanoscale electronic devices. We propose an experiment to use interference to directly measure the effect of the new geometric…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Huan-Qiang Zhou , Urban Lundin , Sam Young Cho , Ross H. McKenzie

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…

Quantum Physics · Physics 2009-11-11 Arindam Ghosh , Anil Kumar

Examples of geometric phases abound in many areas of physics. They offer both fundamental insights into many physical phenomena and lead to interesting practical implementations. One of them, as indicated recently, might be an inherently…

The geometric phase (GP) is a fundamental quantum effect arising from conical intersections (CIs), with profound consequences for vibronic energy levels. Standard imaginary-time path integral molecular dynamics (PIMD) based on the…

Chemical Physics · Physics 2026-04-22 Yu Zhai , Youhao Shang , Jian Liu

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…

Quantum Physics · Physics 2015-10-28 Bernard Zygelman

A quantum system interacting with its environment is subject to dephasing which ultimately destroys the information it holds. Using a superconducting qubit, we experimentally show that this dephasing has both dynamic and geometric origins.…

In a prevous paper (Phys. Rev. Lett. 96, 150403 (2006)) we have proposed a new way to generate an observable geometric phase on a quantum system by means of a completely incoherent phenomenon. The basic idea was to force the ground state of…

Quantum Physics · Physics 2009-11-13 Angelo Carollo , G. Massimo Palma

We follow a generalized kinematic approach to compute the geometric phases acquired in both unitary and dissipative Jaynes-Cummings models, which provide a fully quantum description for a two-level system interacting with a single mode of…

Quantum Physics · Physics 2022-02-25 Ludmila Viotti , Fernando C. Lombardo , Paula I. Villar

We study the influence of geometry of quantum systems underlying space of states on its quantum many-body dynamics. We observe an interplay between dynamical and topological ingredients of quantum non-equilibrium dynamics revealed by the…

Other Condensed Matter · Physics 2012-03-26 Michael Tomka , Anatoli Polkovnikov , Vladimir Gritsev

Nonadiabatic dynamics around an avoid crossing or a conical intersection play a crucial role in the photoinduced processes of most polyatomic molecules. The present work shows that the topological phase in conical intersection makes the…

Optics · Physics 2022-11-01 Guanglu Yuan , Ruifeng Lu , Shicheng Jiang , Konstantin Dorfman

Based on a generic quantum open system model, we study the geometric nature of decoherence by defining a complex-valued geometric phase through stochastic pure states describing non-unitary, non-cyclic and non-adiabatic evolutions. The…

Quantum Physics · Physics 2019-12-11 Da-Wei Luo , Hai-Qing Lin , J. Q. You , Lian-Ao Wu , Rupak Chatterjee , Ting Yu

We propose a new way to generate an observable geometric phase by means of a completely incoherent phenomenon. We show how to imprint a geometric phase to a system by "adiabatically" manipulating the environment with which it interacts. As…

Quantum Physics · Physics 2009-11-11 Angelo Carollo , G. Massimo Palma , Artur Lozinski , Marcelo Franca Santos , Vlatko Vedral

The geometric phase can be used as a fruitful venue of investigation to infer features of the quantum systems. Its application can reach new theoretical frontiers and imply innovative and challenging experimental proposals. Herein, we take…

We investigate the role of the geometric phase (GP) in an internal conversion process when the system changes its electronic state by passing through a conical intersection (CI). Local analysis of a two-dimensional linear vibronic coupling…

Chemical Physics · Physics 2015-01-12 Ilya G. Ryabinkin , Loic Joubert-Doriol , Artur F. Izmaylov

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…

Quantum Physics · Physics 2013-05-29 H. D. Liu , X. X. Yi

Emerging models of quantum computation driven by multi-photon quantum interference, while not universal, may offer an exponential advantage over classical computers for certain problems. Implementing these circuits via geometric phase gates…

Quantum Physics · Physics 2012-07-04 Anthony Laing , Thomas Lawson , Enrique Martín López , Jeremy L. O'Brien

The state of a quantum system acquires a phase factor, called the geometric phase, when taken around a closed trajectory in the parameter space, which depends only on the geometry of the parameter space. Due to its sensitive nature, the…

Quantum Physics · Physics 2022-08-25 Navdeep Arya , Vikash Mittal , Kinjalk Lochan , Sandeep K. Goyal

Ab initio modeling of conical intersection dynamics is crucial for various photochemical, photophysical, and biological processes. However, adiabatic electronic states obtained from electronic structure computations involve random phases,…

Chemical Physics · Physics 2024-06-13 Xiaotong Zhu , Bing Gu