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A k-quantum nonlinear Jaynes-Cummings model for two trapped ions interacting with laser beams resonant to k-th red side-band of center-of-mass mode, far from Lamb-Dicke regime, has been obtained. The exact analytic solution showed the…

Quantum Physics · Physics 2015-06-26 Hao-Sheng Zeng

We analyze nonlinear coupling between individual vibrational quanta for trapped ions. The nonlinear Coulomb interaction causes a Kerr-type Hamiltonian, for which we derive an analytical expression for the coupling constant. In contrast to a…

Quantum Physics · Physics 2009-01-15 X. Rebecca Nie , Christian F. Roos , Daniel F. V. James

Intense laser pulses have the capability to couple resonances in the continuum, leading to the formation of a split pair of autoionizing polaritons. These polaritons can exhibit extended lifetimes due to interference between radiative and…

Bosons hopping across sites and interacting on-site are the essence of the Bose-Hubbard model (BHM). Inspired by the success of BHM simulators with atoms in optical lattices, proposals for implementing the BHM with photons in coupled…

Jaynes-Cummings model is a typical model in quantum optics and has been realized with various physical systems (e.g, cavity QED, trapped ions, and circuit QED etc..) of two-level atoms interacting with quantized bosonic fields. Here, we…

Quantum Physics · Physics 2011-03-07 Miao Zhang , H. Y. Jia , L. F. Wei

The electronic and motional degrees of freedom of trapped ions can be controlled and coherently coupled on the level of individual quanta. Assembling complex quantum systems ion by ion while keeping this unique level of control remains a…

We present a new method to study the semiclassical dynamics of the Jaynes-Cummings dimer model, describing two coupled cavities each containing a two-level system (qubit). We develop a Fock space WKB approach in the polariton basis where…

Quantum Physics · Physics 2016-01-25 Hassan Shapourian , Darius Sadri

We demonstrate a double-trap system well suited to study cold collisions between trapped ions and trapped atoms. Using Yb$^+$ ions confined in a Paul trap and Yb atoms in a magneto-optical trap, we investigate charge-exchange collisions of…

Atomic Physics · Physics 2015-05-13 Andrew T. Grier , Marko Cetina , Fedja Oručević , Vladan Vuletić

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

We propose the effective simulation of light-matter ultrastrong-coupling phenomena with strong-coupling systems. Recent theory and experiments have shown that the quantum Rabi Hamiltonian can be simulated by a Jaynes--Cummings system with…

Quantum Physics · Physics 2020-09-23 Carlos Sánchez Muñoz , Anton Frisk Kockum , Adam Miranowicz , Franco Nori

We theoretically study trapped ions that are immersed in an ultracold gas of Rydberg-dressed atoms. By off-resonant coupling on a dipole-forbidden transition, the adiabatic atom-ion potential can be made repulsive. We study the energy…

Atomic Physics · Physics 2017-06-30 T. Secker , N. Ewald , J. Joger , H. Fürst , T. Feldker , R. Gerritsma

The vibronic dynamics of a trapped ion in the resolved-sideband regime can be described by the explicitly time-dependent nonlinear Jaynes-Cummings model. It is shown that the expectation value of the interaction Hamiltonian and its…

Quantum Physics · Physics 2019-06-13 F. Krumm , W. Vogel

We report an experimental realization of the Jaynes-Cummings-Hubbard (JCH) model using the internal and radial phonon states of two trapped ions. An adiabatic transfer corresponding to a quantum phase transition from a localized insulator…

Quantum Physics · Physics 2013-10-22 Kenji Toyoda , Yuta Matsuno , Atsushi Noguchi , Shinsuke Haze , Shinji Urabe

We show how a single trapped ion may be used to test a variety of important physical models realized as time-dependent harmonic oscillators. The ion itself functions as its own motional detector through laser-induced electronic transitions.…

Quantum Physics · Physics 2007-12-23 Nicolas C. Menicucci , G. J. Milburn

A system of harmonic oscillators coupled via nonlinear interaction is a fundamental model in many branches of physics, from biophysics to electronics and condensed matter physics. In quantum optics, weak nonlinear interaction between light…

Quantum Physics · Physics 2017-10-24 Shiqian Ding , Gleb Maslennikov , Roland Hablutzel , Huanqian Loh , Dzmitry Matsukevich

We explore the feasibility of gate-based hybrid quantum computing using both discrete (qubit) and continuous (qumode) variables on trapped-ion platforms. Trapped-ion systems have demonstrated record one- and two-qubit gate fidelities and…

Quantum Physics · Physics 2025-07-24 Jack Y. Araz , Matt Grau , Jake Montgomery , Felix Ringer

Jaynes-Cummings-Hubbard (JCH) model is a fundamental many-body model for light-matter interaction. As a leading platform for quantum simulation, the trapped ion system has realized the JCH model for two to three ions. Here we report the…

Quantum Physics · Physics 2022-10-03 B. -W. Li , Q. -X. Mei , Y. -K. Wu , M. -L. Cai , Y. Wang , L. Yao , Z. -C. Zhou , L. -M. Duan

We present a second-order perturbative analysis of the model describing a two-level trapped ion interacting with a traveling laser field, in the Lamb-Dicke regime. Unlike the customary approach, based on the interaction picture and the…

Quantum Physics · Physics 2015-06-19 Vittorio Penna , Francesco Raffa

Light-matter systems allow to realize a strongly correlated phase where photons are present. In these systems strong correlations are achieved by optical nonlinearities, which appear due to the coupling of photons to atomic-like structures.…

Mesoscale and Nanoscale Physics · Physics 2011-06-10 Michael Knap , Enrico Arrigoni , Wolfgang von der Linden

The quadrupole linear Paul trap is one of the key instruments in building highly stable atomic clocks. However, a frequency reference based on a single trapped ion is limited in stability due to the time needed for the interrogation cycle…

Instrumentation and Detectors · Physics 2021-12-07 Martin Oral , Lukáš Slodička , Ondřej Číp