Geometric Frustration in Large Arrays of Coupled Lasers Near Field Far Field Micha Nixon Eitan Ronen, Moti Fridman, Amit Godel, Asher Friesem and Nir Davidson.

Slides:

Advertisements

Similar presentations

Spin order in correlated electron systems

Advertisements

APRIL 2010 AARHUS UNIVERSITY Simulation of probed quantum many body systems.

THE ISING PHASE IN THE J1-J2 MODEL Valeria Lante and Alberto Parola.

Chromium Clusters in an External Magnetic Field: Classical Discrete Models Kalin Arsov Third Year Undergraduate Student University of Sofia, Faculty of.

Emergent Majorana Fermion in Cavity QED Lattice

1 Spin Freezing in Geometrically Frustrated Antiferromagnets with Weak Bond Disorder Tim Saunders Supervisor: John Chalker.

D-wave superconductivity induced by short-range antiferromagnetic correlations in the Kondo lattice systems Guang-Ming Zhang Dept. of Physics, Tsinghua.

Reflection Symmetry and Energy-Level Ordering of Frustrated Ladder Models Tigran Hakobyan Yerevan State University & Yerevan Physics Institute The extension.

Kagome Spin Liquid Assa Auerbach Ranny Budnik Erez Berg.

~20 Monte Carlo Study of the J 1 -J 2 antiferromagnetic XY model on the triangular lattice Department of Physics Sungkyunkwan University Jin-Hong.

COMPUTER MODELING OF LASER SYSTEMS

Electronic structure of La2-xSrxCuO4 calculated by the

Ajay Kumar Ghosh Jadavpur University Kolkata, India Vortex Line Ordering in the Driven 3-D Vortex Glass MesoSuperMag 2006 Stephen Teitel University of.

Magnetism in systems of ultracold atoms: New problems of quantum many-body dynamics E. Altman (Weizmann), P. Barmettler (Frieburg), V. Gritsev (Harvard,

Ajay Kumar Ghosh Jadavpur University Kolkata, India Vortex Line Ordering in the Driven 3-D Vortex Glass Vortex Wroc ł aw 2006 Stephen Teitel University.

Ajay Kumar Ghosh Jadavpur University Kolkata, India Vortex Line Ordering in the Driven 3-D Vortex Glass Vortex Wroc ł aw 2006 Stephen Teitel University.

The Markov property Discrete time: A time symmetric version: A more general version: Let A be a set of indices >k, B a set of indices

1 Cluster Monte Carlo Algorithms & softening of first-order transition by disorder TIAN Liang.

Strongly Correlated Systems of Ultracold Atoms Theory work at CUA.

Ajay Kumar Ghosh Jadavpur University Kolkata, India Vortex Line Ordering in the Driven 3-D Vortex Glass MesoSuperMag 2006 Stephen Teitel University of.

Monte Carlo Simulation of Ising Model and Phase Transition Studies

Probing phases and phase transitions in cold atoms using interference experiments. Anatoli Polkovnikov, Boston University Collaboration: Ehud Altman- The.

Random Field Ising Model on Small-World Networks Seung Woo Son, Hawoong Jeong 1 and Jae Dong Noh 2 1 Dept. Physics, Korea Advanced Institute Science and.

Coherence and decay within Bose-Einstein condensates – beyond Bogoliubov N. Katz 1, E. Rowen 1, R. Pugatch 1, N. Bar-gill 1 and N. Davidson 1, I. Mazets.

Monte Carlo Simulation of Ising Model and Phase Transition Studies By Gelman Evgenii.

Absorbing Phase Transitions

Relating computational and physical complexity Computational complexity: How the number of computational steps needed to solve a problem scales with problem.

Superglasses and the nature of disorder-induced SI transition

F.F. Assaad. MPI-Stuttgart. Universität-Stuttgart Numerical approaches to the correlated electron problem: Quantum Monte Carlo.  The Monte.

Classical Antiferromagnets On The Pyrochlore Lattice S. L. Sondhi (Princeton) with R. Moessner, S. Isakov, K. Raman, K. Gregor [1] R. Moessner and S. L.

Christine Muschik and J. Ignacio Cirac Entanglement generated by Dissipation Max-Planck-Institut für Quantenoptik Hanna Krauter, Kasper Jensen, Jonas Meyer.

Impurities in Frustrated Magnets

1 Worm Algorithms Jian-Sheng Wang National University of Singapore.

1 Evidence for a Reorientation Transition in the Phase Behaviour of a Two-Dimensional Dipolar Antiferromagnet By Abdel-Rahman M. Abu-Labdeh An-Najah National.

The Ising Model Mathematical Biology Lecture 5 James A. Glazier (Partially Based on Koonin and Meredith, Computational Physics, Chapter 8)

Complex Plasmas as a Model for the Quark-Gluon-Plasma Liquid

8. Selected Applications. Applications of Monte Carlo Method Structural and thermodynamic properties of matter [gas, liquid, solid, polymers, (bio)-macro-

The 5th Korea-Japan-Taiwan Symposium on Strongly Correlated Electron System Manybody Lab, SKKU Spontaneous Hexagon Organization in Pyrochlore Lattice Jung.

¶ CNISM-Dipartimento di Fisica “A. Volta,” Università di Pavia, Pavia, (Italy) ║ Max Planck Institute for Chemical Physics of Solids, Dresden,

Animating Tessellations of the Plane with Statistic Models Ben McCabe Advisor: Rolfe Petschek Department of Physics, Case Western Reserve University Artists,

Collective diffusion of the interacting surface gas Magdalena Załuska-Kotur Institute of Physics, Polish Academy of Sciences.

Gang Shu  Basic concepts  QC with Optical Driven Excitens  Spin-based QDQC with Optical Methods  Conclusions.

Javier Junquera Introduction to atomistic simulation methods in condensed matter Alberto García Pablo Ordejón.

1 Unusual magnetic ordering due to random impurities and frustration Tim Saunders Supervisor: John Chalker.

Summary Kramers-Kronig Relation (KK relation)

Non-Abelian Josephson effect and fractionalized vortices Wu-Ming Liu （刘伍明）（ Institute of Physics, CAS ）

Magnetic Frustration at Triple-Axis  Magnetism, Neutron Scattering, Geometrical Frustration  ZnCr 2 O 4 : The Most Frustrated Magnet How are the fluctuating.

From J.R. Waldram “The Theory of Thermodynamics”.

D=2 xy model n=2 planar (xy) model consists of spins of unit magnitude that can point in any direction in the x-y plane si,x= cos(i) si,y= sin(i)

Study of repulsive nature of optical potential for high energy 12 C+ 12 C elastic scattering (Effect of the tensor and three-body interactions) Gaolong.

0 Frequency Gain 1/R 1 R 2 R 3 0 Frequency Intensity Longitudinal modes of the cavity c/L G 0 ( ) Case of homogeneous broadening R2R2 R3R3 R1R1 G 0 ( )

Functional Integration in many-body systems: application to ultracold gases Klaus Ziegler, Institut für Physik, Universität Augsburg in collaboration with.

1 Vortex configuration of bosons in an optical lattice Boulder Summer School, July, 2004 Congjun Wu Kavli Institute for Theoretical Physics, UCSB Ref:

GNSF: KITP: PHY Krakow, June 2008 George Jackeli Max-Planck Institute for Solid State Research, Stuttgart In collaboration with:

The meaning of weak value

B3 Correlations in antiferromagnets

Statistical-Mechanical Approach to Probabilistic Image Processing -- Loopy Belief Propagation and Advanced Mean-Field Method -- Kazuyuki Tanaka and Noriko.

The Magnetic Properties of the Anti-collinear Phase under the Effects of a Uniform External Magnetic Field in a Two Dimensional Square Planar System By.

10 Publications from the project

Spontaneous Hexagon Organization in Pyrochlore Lattice

Ising Model of a Ferromagnet

Liquefying a gas by applying pressure

In “Adaptive Cooperative Systems” Summarized by Ho-Sik Seok

The Hopfield Model - Jonathan Amazon.

Phase Transitions in Quantum Triangular Ising antiferromagnets

Chiral Spin States in the Pyrochlore Heisenberg Magnet

Biointelligence Laboratory, Seoul National University

Institute for Theoretical Physics,

Deformation of the Fermi surface in the

Presentation transcript:

Geometric Frustration in Large Arrays of Coupled Lasers Near Field Far Field Micha Nixon Eitan Ronen, Moti Fridman, Amit Godel, Asher Friesem and Nir Davidson Weizmann Institute of Science

Introduction What is phase locking ? Coupling

How to phase lock lasers ? (Diffraction coupling.) Output coupler Mirror GAIN

Degenerate cavity Mirror GAIN Mask f1f1 f2f2 Lens (f 2 ) Lens (f 1 ) Output coupler f2f2 f1f1 300µm

Near field Far field Degenerate cavity square array Near field

Degenerate cavity Mirror GAIN MaskLens Output coupler Far Field No coupling Far Field With coupling

Negative coupling 0 π π π π

0π π0 XY model of anti ferromagnetic interactions

Negative coupling 0π π0

Triangular array

Near Field Many longitudinal modes. Far Field

Kagome array

Near Field Far Field Moessner R and Chalker J T “Low-temperature properties of classical geometrically frustrated antiferromagnets”, Phys. Rev. B (1998)

Honey-comb (Grafin) array Near Field Far Field

No φ phase ordering !3φ phase ordering

Is this a 3φ “condensate” ? 3φ condensate simulations: Ground states using a Monte Carlo simulation that minimizes the spins energy. XY model

Next Nearest Neighbor Coupling

Kagome array with next nearest neighbor coupling z Mirror GAIN Mask f1f1 f2f2 f2 f2 f1 f1 Output coupler f2f2 f1f1

Kagome array with next nearest neighbor coupling

External “field” Degenerate cavity External laser 0 π ? Gain

External Field for 1D Near field spiral Far field

External disordered field Degenerate cavity 0 π 0 ? ? ? ? External degenerate laser cavity

Effects of finite “temperature” in square array

Summary Frustration and other ground states of coupled systems (XY model) can be demonstrated experimentally with large arrays of coupled lasers. Coupling strength, range and sign can be easily controlled. Study effects of external fields, noise and quenched disorder.

Fourier coupling Mirror GAIN Mask f1f1 f2f2 Lens (f 2 ) Pinhole Lens (f 1 ) Output coupler f2f2 f1f1

“Phase transitions” Near field square lattice No coupling Positive coupling Negative coupling

Sharp phase transitions

Direct measurement of phase decoherence 50% fringe visibility 100% fringe visibility

Distance Fringe visibility Short range phase ordering

Numerical model Laser rate equations Cavity transfer matrix.

Phase Locking Fourier plain f1f1 f1f1 f2f2 f2f2 (f 2 ) (f 1 )

Many Longitudinal modes A single lasers spectral lines are separated by