Disorder-correlation-frequency-controlled diffusion in the Jaynes-Cummings–Hubbard model

Quach, James Q.

doi:10.1103/physreva.88.053843

Cited by 9 publications

(5 citation statements)

References 36 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In figure 6 we plot R (c) and Q (d) for two distinct values of η ( 1 h =and 0.5 h = -) for 0 1 « and 1 2 « spin transition. The solid lines correspond to the analytical result (56) and coincide with the exact diagonalization results for the 0 1 « (black crosses and red stars for 1 h =and 0.5 h =respectively) 10 . It is apparent from figures 6(c) and (d) that the desired parameter range R 1 > , Q 1  can be achieved also for the 1 2 « spin transition and therefore the frustrated regime can be indeed reached (this is also a confirmation of the intuitive expectation based on the analysis of the 0 1  transition alone, namely that the arbitrarily large values of R are a strong indication that higher excitation ] .…”

Section: = -+ (supporting

confidence: 73%

“…In this context, the use of cavities plays a prominent role as the strong confinement of the electromagnetic field implies strong interaction with matter coupled to the cavity modes. In particular, it offers possibilities to realize and study a plethora of quantum light-matter many-body Hamiltonians such as the so-called Jaynes-Cummings-Hubbard or Rabi-Hubbard models [1][2][3][4][5][6][7][8][9][10][11], or quantum fluids of light, where the effective interaction between light fields is mediated by a nonlinear medium [12][13][14]. This offers ways to study various physical phenomena such as excitation propagation in chiral networks [15][16][17], the physics of spin glasses [18][19][20] and quantum Hopfield networks [21,22], self-organization of the atomic motion in optical cavities [23][24][25][26][27] or quantum phase transitions in arrays of nanocavity quantum dots [28] and in Coulomb crystals [29].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Effective spin physics in two-dimensional cavity QED arrays

et al. 2017

View full text Add to dashboard Cite

We investigate a strongly correlated system of light and matter in two-dimensional cavity arrays. We formulate a multimode Tavis-Cummings (TC) Hamiltonian for two-level atoms coupled to cavity modes and driven by an external laser field which reduces to an effective spin Hamiltonian in the dispersive regime. In one-dimension we provide an exact analytical solution. In two-dimensions, we perform mean-field study and large scale quantum Monte Carlo simulations of both the TC and the effective spin models. We discuss the phase diagram and the parameter regime which gives rise to frustrated interactions between the spins. We provide a quantitative description of the phase transitions and correlation properties featured by the system and we discuss graph-theoretical properties of the ground states in terms of graph colourings using Pólya's enumeration theorem.

show abstract

Section: = -+ (supporting

confidence: 73%

Section: Introductionmentioning

confidence: 99%

Effective spin physics in two-dimensional cavity QED arrays

et al. 2017

View full text Add to dashboard Cite

show abstract

“…A detailed understanding of the equilibrium properties of the JCH model (2) resorts on approximated analytical solutions [37] or numerical approaches such as density matrix renormalization group [38][39][40][41]. In nonequilibrium situations, one can understand the underlying physics using the time-evolving block decimation algorithm [42][43][44], or simplifying the description using effective Hilbert spaces [32,[45][46][47][48][49]. The latter is particularly appropriate for studying the quench protocol presented in this article, as we consider the closed system scenario.…”

Section: The Modelmentioning

confidence: 99%

Dynamical dimerization phase in Jaynes–Cummings lattices

2020

View full text Add to dashboard Cite

We report on an emergent dynamical phase of a strongly-correlated light-matter system, which is governed by dimerization processes due to short-range and long-range two-body interactions. The dynamical phase is characterized by the spontaneous symmetry breaking of the translational invariance and appears in an intermediate regime of light-matter interaction between the resonant and dispersive cases. We describe the quench dynamics from an initial state with integer filling factor of a finite-sized array of coupled resonators, each doped with a two-level system, in a closed and open scenario. The closed system dynamics has an effective Hilbert space description that allows us to demonstrate and characterize the emergent dynamical phase via time-averaged quantities, such as fluctuations in the number of polaritons per site and linear entropy. We prove that the dynamical phase is governed by intrinsic two-body interactions and the lattice topological structure. In the open system dynamics, we show evidence about the robustness of dynamical dimerization processes under loss mechanisms. Our findings can be used to determine the light-matter detuning range, where the dimerized phase emerges.transitions from the Mott-insulating to superfluid phase [31]. Here, we introduce an effective Hilbert space in the two-excitations subspace using the criterion of discarding higher energy polaritonic states, which are out-ofresonance over the evolution [27,32]. This description allows us quantitative explanations for time-averaged quantities such as fluctuations in the number of polaritons per site and linear entropy. Besides, the computational cost is substantially diminished by using a reduced effective Hilbert space. As we extend the quench dynamics to complex finite-sized CRAs, we demonstrate the emergence of DDP, which is governed by intrinsic two-body interactions in the JC lattice. In the open system scenario, our numerical results show evidence about the robustness of dynamical dimerization processes under loss mechanisms, so our work may find inspiration for the observation of DDP within state-of-the-art quantum technologies such as superconducting circuits [15,17] and trapped ions [33,34].This paper is organized as follows. In section 2, we introduce the JCH model and the polariton mapping. In section 3, we describe the quench protocol for the closed JCH dimer. Here, we provide analytical expressions for time-averaged order parameters using an effective Hilbert space. In section 4, we highlight the emergence of a DDP as we extend the one-dimensional JC lattice to three and four sites. Here, section 4.1 describes DDP in a closed system, while in section 4.2, we introduce loss mechanisms in the JC lattice and discuss their effects on the dynamical phase transition. Finally, in section 5, we present our concluding remarks.

show abstract

“…Moreover, theoretical studies [33][34][35][36] and reliable numerical methods, such as the density matrix renormalization group algorithm(DMRG) [37,38] and the quantum Monte-Carlo(QMC) [39,40] method are also investigated. Furthermore, various topics including fractional quantum Hall Physics [41], quantum transport [42], quantum-state transmission [43], on-site disorder [34,44] and phase transitions [33,34] are explored intensively.…”

Section: Introductionmentioning

confidence: 99%

Worm quantum Monte-Carlo study of phase diagram of extended Jaynes-Cummings-Hubbard model

Wei,

Zhang,

Greschner

et al. 2020

Preprint

View full text Add to dashboard Cite

Herein, we study the extended Jaynes-Cummings-Hubbard model mainly by the large-scale worm quantum Monte-Carlo method to check whether or not a light supersolid phase exists in various geometries, such as the one-dimensional chain, square lattices or triangular lattices. To achieve our purpose, the ground state phase diagrams are investigated. For the one-dimensional chain and square lattices, a first-order transition occurs between the superfluid phase and the solid phase and therefore there is no stable supersolid phase existing in these geometries. Interestingly, soliton/beats of the local densities arise if the chemical potential is adjusted in the finite-size chain. However, this soliton-superfluid coexistence can not be considered as a supersolid in the thermodynamic limit. Searching for a light supersolid, we also studied the Jaynes-Cummings-Hubbard model on triangular lattices, and the phase diagrams are obtained. Through measurement of the structural factor, momentum distribution and superfluid stiffness for various system sizes, a supersolid phase exists stably in the triangular lattices geometry and the regime of the supersolid phase is smaller than that of the mean field results. The light supersolid in the Jaynes-Cummings-Hubbard model is attractive because it has superreliance, which is absent in the pure Bose-Hubbard model. We believe the results in this paper could help search for new novel phases in cold-atom experiments.

show abstract

Disorder-correlation-frequency-controlled diffusion in the Jaynes-Cummings–Hubbard model

Cited by 9 publications

References 36 publications

Effective spin physics in two-dimensional cavity QED arrays

Effective spin physics in two-dimensional cavity QED arrays

Dynamical dimerization phase in Jaynes–Cummings lattices

Worm quantum Monte-Carlo study of phase diagram of extended Jaynes-Cummings-Hubbard model

Contact Info

Product

Resources

About