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We propose a robust realization of the two-photon quantum Rabi model in a trapped-ion setting based on a continuous dynamical decoupling scheme. In this manner the magnetic dephasing noise, which is identified as the main obstacle to…

Quantum Physics · Physics 2017-06-28 Ricardo Puebla , Myung-Joong Hwang , Jorge Casanova , Martin B. Plenio

We study the nonlinear dynamics of trapped-ion models far away from the Lamb-Dicke regime. This nonlinearity induces a sideband cooling blockade, stopping the propagation of quantum information along the Hilbert space of the Jaynes-Cummings…

Quantum Physics · Physics 2018-05-21 Xiao-Hang Cheng , Iñigo Arrazola , Julen S. Pedernales , Lucas Lamata , Xi Chen , Enrique Solano

The quantum Rabi model (QRM) is a cornerstone in the study of light-matter interactions within cavity and circuit quantum electrodynamics (QED). It effectively captures the dynamics of a two-level system coupled to a single-mode resonator,…

The exactly solvable model of two indistinguishable quantum particles (bosons or fermions) confined in a one-dimensional harmonic trap and interacting via finite-range soft-core interaction is presented and many properties of the system are…

Quantum Gases · Physics 2018-01-09 Przemysław Kościk , Tomasz Sowiński

The Rabi model that describes the fundamental interaction between a two-level system with a quantized harmonic oscillator is one of the simplest and most ubiquitous models in modern physics. However, this model has not been solved exactly…

Quantum Physics · Physics 2015-06-04 Lixian Yu , Shiqun Zhu , Qifeng Liang , Gang Chen , Suotang Jia

The symmetric quantum Rabi model (QRM) is integrable due to a discrete $\mathbb{Z}_2$-symmetry of the Hamiltonian. This symmetry is generated by a known involution operator, measuring the parity of the eigenfunctions. An experimentally…

Mathematical Physics · Physics 2023-02-21 Cid Reyes-Bustos , Daniel Braak , Masato Wakayama

The quantum Rabi model accepts analytical solutions in the so-called degenerate qubit and relativistic regimes with discrete and continuous spectrum, in that order.We show that solutions in the laboratory frame are the superposition of even…

Quantum Physics · Physics 2019-07-09 F. H. Maldonado-Villamizar , C. Huerta Alderete , B. M. Rodríguez-Lara

We study a system of atoms that are laser-driven to $nD_{3/2}$ Rydberg states and assess how accurately they can be mapped onto spin-$1/2$ particles for the quantum simulation of anisotropic Ising magnets. Using non-perturbative…

The analytical exact solutions to the mixed quantum Rabi model (QRM) including both one- and two-photon terms are found by using Bogoliubov operators. Transcendental functions in terms of $4 \times 4$ determinants responsible for the exact…

Quantum Physics · Physics 2019-12-06 Liwei Duan , You-Fei Xie , Qing-Hu Chen

Spin models are the prime example of simplified manybody Hamiltonians used to model complex, real-world strongly correlated materials. However, despite their simplified character, their dynamics often cannot be simulated exactly on…

We show that spin squeezing implies entanglement for quantum tripartite-state, where the subsystem of the bipartite-state is identical. We study the relation between spin squeezing parameters and entanglement through the quantum entropy of…

Quantum Physics · Physics 2015-03-13 M. S. Ateto

Coherent tripartite interactions among degrees of freedom of completely different nature are instrumental for quantum information and simulation technologies, but they are generally difficult to realize and remain largely unexplored. Here,…

Quantum Physics · Physics 2023-03-01 Xin-Lei Hei , Peng-Bo Li , Xue-Feng Pan , Franco Nori

Hybrid quantum systems involving cold atoms and microwave resonators can enable cavity-mediated infinite-range interactions between atomic spin systems and realize atomic quantum memories and transducers for microwave to optical conversion.…

We experimentally emulate interaction induced blockade and local spin freezing in two and three qubit Nuclear Magnetic Resonance (NMR) architecture. These phenomena are identical to the Rydberg blockade and Rydberg biased freezing. In…

Quantum Physics · Physics 2021-07-14 V. R. Krithika , Soham Pal , Rejish Nath , T. S. Mahesh

In this paper we study the so-called spin-boson system, namely {a two-level system} in interaction with a distinguished mode of a quantized bosonic field. We give a brief description of the controlled Rabi and Jaynes--Cummings models and we…

Quantum Physics · Physics 2016-01-13 Ugo Boscain , Paolo Mason , Gianluca Panati , Mario Sigalotti

We show that the technique known as concatenated continuous dynamical decoupling (CCD) can be applied to a trapped-ion setup for a robust implementation of the quantum Rabi model in a variety of parameter regimes. These include the case…

Quantum Physics · Physics 2017-01-26 Ricardo Puebla , Jorge Casanova , Martin B. Plenio

We present a physically motivated variational wave function for the ground state of the asymmetric quantum Rabi model (AQRM). The wave function is a weighted superposition of squeezed coherent states entangled with non-orthogonal qubit…

Quantum Physics · Physics 2021-01-15 Zi-Min Li , Devid Ferri , Murray T. Batchelor

We define the anisotropic Rabi model as the generalization of the spin-boson Rabi model: The Hamiltonian system breaks the parity symmetry; the rotating and counter-rotating interactions are governed by two different coupling constants; a…

Quantum Physics · Physics 2014-06-18 Qiong-Tao Xie , Shuai Cui , Jun-Peng Cao , Luigi Amico , Heng Fan

We use the vacuum Rabi splitting to perform quantum nondemolition (QND) measurements that prepare a conditionally spin-squeezed state of a collective atomic psuedo-spin. We infer a 3.4(6) dB improvement in quantum phase estimation relative…

Quantum Physics · Physics 2012-03-08 Zilong Chen , Justin G. Bohnet , Shannon R. Sankar , Jiayan Dai , James K. Thompson

We studied the dynamical properties of Rabi oscillations driven by an alternating Rashba field applied to a two-dimensional (2D) harmonic confinement system. We solve the time-dependent (TD) Schr\"{o}dinger equation numerically and rewrite…

Mesoscale and Nanoscale Physics · Physics 2024-06-18 Kaichi Arai , Tatsuki Tojo , Kyozaburo Takeda