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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…

量子物理 · 物理学 2022-02-25 Ludmila Viotti , Fernando C. Lombardo , Paula I. Villar

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

Steering a quantum harmonic oscillator state along cyclic trajectories leads to a path-dependent geometric phase. Here we describe an experiment observing this geometric phase in an electronic harmonic oscillator. We use a superconducting…

量子物理 · 物理学 2013-06-21 M. Pechal , S. Berger , A. A. Abdumalikov , J. M. Fink , J. A. Mlynek , L. Steffen , A. Wallraff , S. Filipp

We study the geometric phase accumulated during non-adiabatic charging of different driven open quantum systems serving as quantum battery models. We provide a full numerical analysis of dynamics under different type of noises typically…

量子物理 · 物理学 2025-09-16 Camila Cristiano , Ludmila Viotti , Paula I. Villar

Unitary and dissipative models of quantum dynamics are linear maps on the space of states or density matrices. This linearity encodes the superposition principle, a key feature of quantum theory. However, this principle can break down in…

量子物理 · 物理学 2025-10-31 Orion Lee , Qian Cao , Yogesh N. Joglekar , Kater Murch

The relationship between quantum phase transition and complex geometric phase for open quantum system governed by the non-Hermitian effective Hamiltonian with the accidental crossing of the eigenvalues is established. In particular, the…

量子物理 · 物理学 2008-11-26 Alexander I. Nesterov , S. G. Ovchinnikov

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…

介观与纳米尺度物理 · 物理学 2009-10-31 Giuseppe Falci , Rosario Fazio , G. Massimo Palma , Jens Siewert , Vlatko Vedral

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.…

Practical implementations of quantum computing are always done in the presence of decoherence. Geometric phase is useful in the context of quantum computing as a tool to achieve fault tolerance. Recent experimental progresses on coherent…

量子物理 · 物理学 2010-01-03 Sun Yin , D. M. Tong

A monitored quantum system undergoing a cyclic evolution of the parameters governing its Hamiltonian accumulates a geometric phase that depends on the quantum trajectory followed by the system on its evolution. The phase value will be…

Geometric phase, associated with holonomy transformation in quantum state space, is an important quantum-mechanical effect. Besides fundamental interest, this effect has practical applications, among which geometric quantum computation is a…

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…

量子物理 · 物理学 2022-08-25 Navdeep Arya , Vikash Mittal , Kinjalk Lochan , Sandeep K. Goyal

We suggest a scheme to implement a universal set of non-Abelian geometric transformations for a single logical qubit composed of three superconducting transmon qubits coupled to a single cavity. The scheme utilizes an adiabatic evolution in…

量子物理 · 物理学 2011-06-17 I. Kamleitner , P. Solinas , C. Müller , A. Shnirman , M. Möttönen

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

We analyze the influence of a dissipative environment on geometric phases in a quantum system subject to non-adiabatic evolution. We find dissipative contributions to the acquired phase and modification of dephasing, considering the cases…

量子物理 · 物理学 2016-07-20 A. E. Svetogorov , Yu. Makhlin

The Berry phase is a geometric phase acquired during adiabatic evolution over a closed loop in parameter space. It plays an essential role in geometric quantum gates and other phase-based protocols. In non-Hermitian systems, the Berry phase…

量子物理 · 物理学 2026-05-19 Pratik J. Barge , Qian Cao , Niklas Hörnedal , Aurélia Chenu , Kater W. Murch

We construct a metamaterial from radio-frequency harmonic oscillators, and find two topologically distinct phases resulting from dissipation engineered into the system. These phases are distinguished by a quantized value of bulk energy…

介观与纳米尺度物理 · 物理学 2018-06-20 Eric I. Rosenthal , Nicole K. Ehrlich , Mark S. Rudner , Andrew P. Higginbotham , K. W. Lehnert

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…

量子物理 · 物理学 2023-07-11 Ludmila Viotti

We propose a scheme for detecting noncommutative feature of the non-Abelian geometric phase in circuit QED, which involves three transmon qubits capacitively coupled to an one-dimensional transmission line resonator. By controlling the…

量子物理 · 物理学 2013-07-02 Man-Lv Peng , Jian Zhou , Zheng-Yuan Xue

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…

量子物理 · 物理学 2019-12-11 Da-Wei Luo , Hai-Qing Lin , J. Q. You , Lian-Ao Wu , Rupak Chatterjee , Ting Yu
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