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Geometric phases play a crucial role in diverse fields. In chemistry they appear when a reaction path encircles an intersection between adiabatic potential energy surfaces and the molecular wavefunction experiences quantum-mechanical…

Quantum Physics · Physics 2024-02-05 Rocco Martinazzo , Irene Burghardt

We present an approach for eliminating the gauge freedom for derivative couplings in nonadiabatic dynamics in the presence of geometric phase effects. This approach relies on a bottom-up construction of a parametric quantum Hamiltonian in…

Chemical Physics · Physics 2023-04-18 Alex Krotz , Roel Tempelaar

Nonadiabaticity, i.e., the effect of mixing electronic states by nuclear motion, is a central phenomenon in molecular science. The strongest nonadiabatic effects arise due to the presence of conical intersections of electronic energy…

Chemical Physics · Physics 2020-04-01 Csaba Fábri , Benjamin Lasorne , Gábor J. Halász , Lorenz S. Cederbaum , Ágnes Vibók

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…

Quantum Physics · Physics 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…

Quantum Physics · Physics 2015-05-27 S. N. Sandhya , Subhashish Banerjee

Geometric phase (GP) independent of energy and time rely only on the geometry of state space. It has been argued to have potential fault tolerance and plays an important role in quantum information and quantum computation. We present the…

Quantum Physics · Physics 2015-05-13 Hongwei Chen , Mingguang Hu , Jingling Chen , Jiangfeng Du

We study the geometric phase of a two-level atom coupled to an environment with Lorentzian spectral density. The non-Markovian effect on the geometric phase is explored analytically and numerically. In the weak coupling limit the…

Quantum Physics · Physics 2015-05-18 Juan-Juan Chen , Jun-Hong An , Qing-Jun Tong , Hong-Gang Luo , C. H. Oh

We study the geometric phase (GP) of a two-level atom coupled to an environment composed of free space and a dielectric nanosphere in thermal and out of thermal equilibrium. We analytically and numerically analyze the optical properties and…

Quantum Physics · Physics 2024-04-24 Ehsan Amooghorban , Sareh Shahidani , Somaye Mohamadi Abdhvand

We show that finite systems with conical intersections can exhibit spontaneous symmetry breaking which manifests itself in spatial localization of eigenstates. This localization has a geometric phase origin and is robust against variation…

Quantum Physics · Physics 2015-01-12 Ilya G. Ryabinkin , Artur F. Izmaylov

Conical intersections are ubiquitous in polyatomic molecules and responsible for a wide range of phenomena in chemistry and physics. We introduce and implement a local diabatic representation for the correlated electron-nuclear dynamics…

Quantum Physics · Physics 2023-10-18 Bing Gu

The geometric phase stands as a foundational concept in quantum physics, revealing deep connections between geometric structures and quantum dynamical evolution. Unlike dynamical phases, geometric phases exhibit intrinsic resilience to…

Quantum Physics · Physics 2025-12-03 Zheng-Yuan Xue , Cheng-Yun Ding

Conical intersections are ubiquitous in chemistry and physics, often governing processes such as light harvesting, vision, photocatalysis, and chemical reactivity. They act as funnels between electronic states of molecules, allowing rapid…

We investigate the critical properties and phase structure of excited states in a holographic superconductor model within the framework of Varying Central Charge Thermodynamics, where the cosmological constant serves as a fundamental…

High Energy Physics - Theory · Physics 2026-04-28 Hoang Van Quyet

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…

Quantum Physics · Physics 2015-05-20 Xinhua Peng , Sanfeng Wu , Jun Li , Dieter Suter , Jiangfeng Du

Conical intersections (CIs) are seen as the main mediators of nonadiabatic transitions; yet, mixed quantum-classical (MQC) simulations rarely, if ever, sample geometries with exactly degenerate electronic energies. Here we show that this…

Chemical Physics · Physics 2026-02-03 Johannes C. B. Dietschreit , Sebastian Mai , Leticia González

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

We study effects of nonadiabatic couplings in a model of a diatomic molecule in the context of attosecond transient absorption spectroscopy. By using a model system consisting of four diabatic electronic states and with a variable strength…

Atomic Physics · Physics 2021-03-03 Nikolaj S. W. Ravn , Lars Bojer Madsen

When a quantum mechanical system undergoes an adiabatic cyclic evolution it acquires a geometrical phase factor in addition to the dynamical one. This effect has been demonstrated in a variety of microscopic systems. Advances in…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Giuseppe Falci , Rosario Fazio , G. Massimo Palma , Jens Siewert , Vlatko Vedral

The effect due to the inter-subsystem coupling on the off-diagonal geometric phase in a composite system is investigated. We analyze the case where the system undergo an adiabatic evolution. Two coupled qubits driven by time-dependent…

Quantum Physics · Physics 2009-11-10 X. X. Yi , J. L. Chang

Bound states in the continuum (BSCs) were reported in a linear vibronic coupling model with a conical intersection (CI) [Cederbaum et al. Phys. Rev. Lett. 90, 013001 (2003)]. It was also found that these states are destroyed within the…

Chemical Physics · Physics 2018-01-03 Sarah Henshaw , Artur F. Izmaylov