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We propose and demonstrate a scalable scheme for the simultaneous determination of internal and motional states in trapped ions with single-site resolution. The scheme is applied to the study of polaritonic excitations in the Jaynes-…

Quantum Physics · Physics 2021-12-15 Silpa Muralidharan , Ryutaro Ohira , Shota Kume , Kenji Toyoda

The nature of the ground states for a system composed of two coupled cavities with each containing a pair of dipole-coupled two-level atoms are studied over a wide range of detunings and dipole coupling strengths. The cases for three limits…

Quantum Physics · Physics 2015-03-18 Lei Tan , Yu Qing Zhang , Wu Ming Liu

We present a novel system for the simulation of quantum phase transitions of collective internal qubit and phononic states with a linear crystal of trapped ions. The laser-ion interaction creates an energy gap in the excitation spectrum,…

Quantum Physics · Physics 2013-05-29 P. A. Ivanov , S. S. Ivanov , N. V. Vitanov , A. Mering , M. Fleischhauer , K. Singer

We discuss analytic approximations to the ground state phase diagram of the homogeneous Jaynes-Cummings-Hubbard (JCH) Hamiltonian with general short-range hopping. The JCH model describes e.g. radial phonon excitations of a linear chain of…

Other Condensed Matter · Physics 2013-05-29 Alexander Mering , Peter A. Ivanov , Kilian Singer , Michael Fleischhauer

We investigate the influence of phonon degrees of freedom on the qubit dynamics in Jaynes-Cummings (JC) model. A strong qubit-phonon coupling is considered giving rise to Jaynes-Cummings-Holstein (JCH) model. Under anti-adiabatic…

Quantum Physics · Physics 2026-03-11 Saima Bashir , Mehboob Rashid , Rayees A Malla , Muzaffar Qadir Lone

We demonstrate the site-dependent control of polaritons in the Jaynes Cummings Hubbard (JCH) model with trapped ions. In a linear ion crystal under illumination by optical beams nearly resonant to the red-sideband (RSB) transition for the…

Quantum Physics · Physics 2023-07-05 Silpa Muralidharan , Kenji Toyoda

We discuss the Jaynes-Cummings-Hubbard model (JCHM) describing the superfluid-Mott insulator transition of polaritons (i.e., dressed photon-qubit states) in coupled qubit-cavity arrays in the crossover from strong to weak correlations. In…

Quantum Physics · Physics 2013-11-13 Sebastian Schmidt , Gianni Blatter , Jonathan Keeling

We present a theoretical investigation of dynamical quantum phase transitions (QPTs) in a periodically driven $\Lambda$-type three-level system (3LS) embedded in a double-mode cavity, described by a three-level Jaynes-Cumming (3L-JC)…

Quantum Physics · Physics 2025-08-05 Sanjoy Mishra , Shraddha Sharma , Amit Rai , Pitamber Mahanandia

We study the dynamics of an one dimensional array of Jaynes-Cummings-Hubbard system of arbitrary number of coupled cavities, each containing a two level atom that interacts with a field mode. In particular, we consider propagation of a…

Quantum Physics · Physics 2011-03-04 R. Chakrabarti , G. Sreekumari

Phase transitions are commonly held to occur only in the thermodynamical limit of large number of system components. Here we exemplify at the hand of the exactly solvable Jaynes-Cummings (JC) model and its generalization to finite…

Quantum Physics · Physics 2016-09-21 Myung-Joong Hwang , Martin B. Plenio

We explore quantum phase transitions in the multiphoton Jaynes-Cummings-Hubbard model (JCHM). Using the mean-field approximation, we demonstrate that the multiphoton JCHM exhibits quantum phase transitions between the Mott insulator (MI)…

Quantum Physics · Physics 2025-09-16 Hiroo Azuma , William J. Munro , Kae Nemoto

The connectivity and tunability of superconducting quantum devices provide a rich platform to build quantum simulators and study novel many-body physics. Here we study quantum phase transition in a detuned multi-connected Jaynes-Cummings…

Quantum Physics · Physics 2015-06-01 Kangjun Seo , Lin Tian

Regular arrays of electromagnetic resonators, in turn coupled coherently to individual quantum two-level systems, exhibit a quantum phase transition of polaritons from a superfluid phase to a Mott-insulating phase. The critical behavior of…

Other Condensed Matter · Physics 2009-08-18 Jens Koch , Karyn Le Hur

Herein, we propose an experimentally feasible scheme to show the quantum phase transition of the Jaynes-Cummings (JC) model by modulating the transition frequency of a two-level system in a quantum Rabi model with strong coupling. By tuning…

Quantum Physics · Physics 2023-11-27 Cheng Liu , Jin-Feng Huang

Driving an ion at a motional sideband transition induces the Jaynes--Cummings (JC) interaction. This JC interaction creates an anharmonic ladder of JC eigenstates, resulting in the suppression of phonon hopping due to energy conservation.…

We follow the passage from complex amplitude bistability to phase bistability in the driven dissipative Jaynes-Cummings oscillator. Quasidistribution functions in the steady state are employed, for varying qubit-cavity detuning and drive…

Quantum Physics · Physics 2017-01-26 Th. K. Mavrogordatos

We analyze the quantum phase transition-like behavior in the lowest energy state of a two-site coupled atom-cavity system, where each cavity contains one atom but the total excitation number is not limited to two. Utilizing the variance of…

Quantum Physics · Physics 2014-02-26 Li-Tuo Shen , Rong-Xin Chen , Huai-Zhi Wu , Zhen-Biao Yang , Elinor Irish , Shi-Biao Zheng

The rapid progress in quantum technology enables the implementation of artificial many-body systems with correlated photons and polaritons. A multiconnected Jaynes-Cummings (MCJC) lattice can be constructed by connecting qubits and cavities…

Quantum Physics · Physics 2017-11-15 Jian Xue , Kangjun Seo , Lin Tian , Tao Xiang

The Jaynes-Cummings-Hubbard (JCH) system describes a network of single-mode photonic cavities connected via evanescent coupling. Each cavity contains a single two level system which can be tuned in resonance with the cavity. Here we explore…

We use an analytic slave-boson approach to calculate the elementary excitations of the Jaynes-Cummings-Hubbard Model (JCHM) describing strongly correlated polaritons on a lattice in various quantum optical systems. In the superfluid phase…

Other Condensed Matter · Physics 2010-06-02 S. Schmidt , G. Blatter
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