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Related papers: Controllability of spin-boson systems

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The quantum Rabi model describes the interaction between a two-level quantum system and a single bosonic mode. We propose a method to perform a quantum simulation of the quantum Rabi model introducing a novel implementation of the two-level…

Influence of resonant oscillating electromagnetic field on a single electron in coupled lateral quantum dots in the presence of phonon-induced relaxation and decoherence is investigated. Using symmetry arguments it is shown that spin and…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Peter Stano , Jaroslav Fabian

In this work, we investigate the approximate controllability of a class of one-dimensional degenerate parabolic equations with Robin boundary conditions. The degeneracy occurs at one endpoint of the spatial domain, and we apply an impulsive…

Optimization and Control · Mathematics 2025-05-07 Hind El Baggari , Ilham Ouelddris

The quantum Rabi model, involving a two-level system and a bosonic field mode, is arguably the simplest and most fundamental model describing quantum light-matter interactions. Historically, due to the restricted parameter regimes of…

General dynamic properties like controllability and simulability of spin systems, fermionic and bosonic systems are investigated in terms of symmetry. Symmetries may be due to the interaction topology or due to the structure and…

Quantum Physics · Physics 2011-11-28 Robert Zeier , T. Schulte-Herbrueggen

A system of bosons in a two-dimensional harmonic trap in the presence of Rashba-type spin-orbit coupling is investigated. An analytic treatment of the ground state of a single atom in the weak-coupling regime is presented and used as a…

Quantum Gases · Physics 2020-04-29 Pere Mujal , Artur Polls , Bruno Juliá-Díaz

Electrically driven spin resonance is a powerful technique for controlling semiconductor spin qubits. However, it faces challenges in qubit addressability and off-resonance driving in larger systems. We demonstrate coherent bichromatic Rabi…

The Rabi oscillations of a coupled spin-photon system are experimentally studied using time domain microwave transmission measurements. An external magnetic bias field is applied to control the amplitude and frequency of Rabi oscillations,…

Mesoscale and Nanoscale Physics · Physics 2019-05-22 Christophe Match , Michael Harder , Lihui Bai , Paul Hyde , Can-Ming Hu

The Rabi model considers a two-level system (or spin-1/2) coupled to a quantized harmonic oscillator and describes the simplest interaction between matter and light. The recent experimental progress in solid-state circuit quantum…

Mesoscale and Nanoscale Physics · Physics 2014-08-20 Loïc Henriet , Zoran Ristivojevic , Peter P. Orth , Karyn Le Hur

The occurrence of a second-order superradiant quantum phase transition is brought to light in a quantum system consisting of two interacting qubits coupled to the same quantized field mode. We introduce an appropriate thermodynamic-like…

Quantum Physics · Physics 2025-02-06 R. Grimaudo , G. Falci , A. Messina , E. Paladino , A. Sergi , E. Solano , D. Valenti

This paper completely solves the controllability problems of two-dimensional multi-input discrete-time bilinear systems with and without drift. Necessary and sufficient conditions for controllability, which cover the existing results, are…

Systems and Control · Computer Science 2014-01-23 Lin Tie

We study a class of quantum Hamiltonian models describing a family of $N$ two-level systems (spins) coupled with a structured boson field of positive mass, with a rotating-wave coupling mediated by form factors possibly exhibiting…

Mathematical Physics · Physics 2023-08-01 Davide Lonigro

The quantum Rabi model describes the coupling of a two-state system to a bosonic field mode. Recent theoretical work has pointed out that a generalized periodic version of this model, which maps onto Hamiltonians applicable in…

Quantum Physics · Physics 2024-07-11 Geram R. Hunanyan , Johannes Koch , Stefanie Moll , Enrique Rico , Enrique Solano , Martin Weitz

We consider the problem of a qubit driven by a harmonically oscillating external field while it is coupled to a quantum two-level system. We perform a systematic numerical analysis of the problem by varying the relevant parameters. The…

Superconductivity · Physics 2007-05-23 S. Ashhab , J. R. Johansson , Franco Nori

Quantum simulation provides important tools in studying strongly correlated many-body systems with controllable parameters. As a hybrid of two fundamental models in quantum optics and in condensed matter physics, the Rabi-Hubbard model…

Quantum Physics · Physics 2022-05-02 Quanxin Mei , Bowen Li , Yukai Wu , Minglei Cai , Ye Wang , Lin Yao , Zichao Zhou , Luming Duan

We investigate the controllability of quantum electrons trapped in a two-dimensional device, typically a MOS field-effect transistor. The problem is modeled by the Schr\"odinger equation in a bounded domain coupled to the Poisson equation…

Analysis of PDEs · Mathematics 2013-10-02 Florian Méhats , Yannick Privat , Mario Sigalotti

Spin squeezing serves as both a fundamental witness of quantum entanglement and a critical resource for quantum-enhanced metrology. While generating substantial spin squeezing in finite-range interacting systems remains challenging, such…

Quantum Physics · Physics 2026-04-01 Ang Li , Ling-Na Wu , Li You

We propose a scheme to simulate the interaction between a two-level system and a classical light field. Under the transversal driving of two microwave tones, the system Hamiltonian is identical to that of the general semi-classical Rabi…

Quantum Physics · Physics 2017-12-18 Kunzhe Dai , Haiteng Wu , Peng Zhao , Mengmeng Li , Qiang Liu , Guangming Xue , Xinsheng Tan , Haifeng Yu , Yang Yu

We prove the approximate controllability of a bilinear Schr\"odinger equation modelling a two trapped ions system. A new spectral decoupling technique is introduced, which allows to analyze the controllability of the infinite-dimensional…

Optimization and Control · Mathematics 2014-12-10 Esteban Paduro , Mario Sigalotti

We construct models describing interaction between a spin $s$ and a single bosonic mode using a quantum inverse scattering procedure. The boundary conditions are generically twisted by generic matrices with both diagonal and off-diagonal…

Strongly Correlated Electrons · Physics 2009-11-10 Luigi Amico , Kazuhiro Hikami