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We analyze a system of reacting elements harmonically coupled to nearest neighbors in the continuum limit. An analytic solution is found for traveling waves. The procedure is used to find oscillatory as well as solitary waves. A comparison…

Pattern Formation and Solitons · Physics 2009-11-07 G. Abramson , A. R. Bishop , V. M. Kenkre

Rotating spiral waves with a central core composed of phase-randomized oscillators can arise in reaction-diffusion systems if some of the chemical components involved are diffusion-free. This peculiar phenomenon is demonstrated for a…

Pattern Formation and Solitons · Physics 2009-11-10 Shin-ichiro Shima , Yoshiki Kuramoto

Systems consisting of cold atoms trapped near photonic crystal waveguides have recently emerged as an exciting platform for quantum atom-light interfaces. Such a system enables realization of tunable long-range interactions between internal…

Quantum Physics · Physics 2021-08-04 David Z. Li , Marco T. Manzoni , Darrick E. Chang

We investigate a two-component mixture of resonantly interacting Fermi gases as a function of the ratio \kappa of the heavy to the light mass of the two species. The diffusion Monte Carlo method is used to calculate the ground-state energy…

Quantum Gases · Physics 2014-03-14 G. E. Astrakharchik , S. Giorgini , J. Boronat

This paper focuses on signal processing tasks in which the signal is transformed from the signal space to a higher dimensional coefficient space (also called phase space) using a continuous frame, processed in the coefficient space, and…

Numerical Analysis · Mathematics 2021-09-14 Ron Levie , Haim Avron

Strongly interacting binary mixtures of superparamagnetic colloidal particles confined to a two-dimensional water-air interface are examined by theory, computer simulation and experiment. The mixture exhibits a partial clustering in…

Soft Condensed Matter · Physics 2009-11-11 Norman Hoffmann , Florian Ebert , Christos N. Likos , Hartmut Löwen , Georg Maret

Renormalization group methods are used to study the low-energy behavior of the unscreened Coulomb interaction in a one-dimensional electron system. By applying a GW approximation, a strong wavefunction renormalization is found in the model,…

Strongly Correlated Electrons · Physics 2007-05-23 S. Bellucci , J. Gonzalez

This work present a new class of variational wave functions for fermi systems in any dimension. These wave functions introduce correlations between Cooper pairs in different momentum states and the relevant correlations can be computed…

Superconductivity · Physics 2009-10-31 B Sriram Shastry

We implement the phaseless auxiliary field quantum Monte Carlo method using the plane-wave based projector augmented wave method and explore the accuracy and the feasibility of applying our implementation to solids. We use a singular value…

The time-energy entanglement of down-converted photon pairs is particularly difficult to characterize because direct measurements of photon arrival times are limited by the temporal resolution of photon detection. Here, we explore an…

Quantum Physics · Physics 2013-04-12 Changliang Ren , Holger F. Hofmann

In this study we have computed the pair correlation functions in the two-dimensional Hubbard model using a quantum Monte Carlo method. We employ a new diagonalization algorithm in quantum Monte Carlo method which is free from the negative…

Superconductivity · Physics 2013-04-05 Takashi Yanagisawa

We report a quantum Monte Carlo calculation of the phase diagram of bosons interacting with a repulsive inverse sixth power pair potential, a model for assemblies of Rydberg atoms in the local van der Waals blockade regime. The model can be…

Quantum Gases · Physics 2011-12-30 O. N. Osychenko , G. E. Astrakharchik , Y. Lutsyshyn , Yu. E. Lozovik , J. Boronat

We investigate the properties of strongly interacting bosons in two dimensions at zero temperature using mean-field theory, a variational Ansatz for the ground state wave function, and Monte Carlo methods. With on-site and short-range…

We examine metastable configurations of a two-dimensional system of interacting particles on a quenched random potential landscape and ask how the configurational pair correlation function is related to the particle interactions and the…

Superconductivity · Physics 2016-08-31 Muhittin Mungan , Chorng-Haur Sow , Susan N. Coppersmith , David G. Grier

In a recent experiment by Eichmann et al., polarization-sensitive measurements of the fluorescence from two four-level ions driven by a linearly polarized laser were made. Depending on the polarization chosen, different degrees of…

Atomic Physics · Physics 2009-10-30 T. Wong , S. M. Tan , M. J. Collett , D. F. Walls

Simple feedback loops, inspired from extremum-seeking, are proposed to lock a probe-frequency to the transition frequency of a single quantum system following quantum Monte-Carlo trajectories. Two specific quantum systems are addressed, a…

Mathematical Physics · Physics 2009-09-09 Mazyar Mirrahimi , Pierre Rouchon

Using exact continuous quantum Monte Carlo techniques, we study the zero and finite temperature properties of a system of harmonically trapped one dimensional spin 1/2 fermions with short range interactions. Motivated by experimental…

Other Condensed Matter · Physics 2009-11-13 Michele Casula , D. M. Ceperley , Erich J. Mueller

We consider an array of coupled optical cavities, each containing a multi-atom ensemble. We show that the nonlinearity inherent in the cooperative dynamics of the atoms in each ensemble coupled to the respective cavity field allows for the…

Quantum Physics · Physics 2015-05-13 M. Paternostro , G. S. Agarwal , M. S. Kim

The discrete time path integral Monte Carlo (PIMC) with a one-particle density matrix approximation is applied to study the quantum phase transition in the coupled double-well chain. To improve the convergence properties, the exact action…

Statistical Mechanics · Physics 2015-06-25 Dong-Hee Kim , Yu-Cheng Lin , Heiko Rieger

We investigate the accuracy of trial wave function for quantum Monte Carlo based on pfaffian functional form with singlet and triplet pairing. Using a set of first row atoms and molecules we find that these wave functions provide very…

Other Condensed Matter · Physics 2009-02-20 M. Bajdich , L. Mitas , G. Drobný , L. K. Wagner , K. E. Schmidt