Single-particle momentum distributions for bosonic trimer states

Slides:

Advertisements

Similar presentations

Searching for Doubly-Charged Higgs at the LHC Sá Borges, Cieza Montalvo Mauro Tonasse Nelson Cortez Universidade do Estado do Rio de Janeiro - Instituto.

Advertisements

Anomalous Pion Production in High Energy Particle Collisions Alexander Bylinkin, Andrey Rostovtsev XV Moscow School of Physics XXXX ITEP Winter School.

Marcelo Takeshi Yamashita Instituto de Física Teórica – IFT / UNESP.

Bose-Bose Mixtures: atoms, molecules and thermodynamics near the Absolute Zero Bose-Bose Mixtures: atoms, molecules and thermodynamics near the Absolute.

The University of Tokyo

Quantum Critical Behavior of Disordered Itinerant Ferromagnets D. Belitz – University of Oregon, USA T.R. Kirkpatrick – University of Maryland, USA M.T.

Degree of polarization of  produced in quasielastic charge current neutrino-nucleus scattering Krzysztof M. Graczyk Jaroslaw Nowak Institute of Theoretical.

Time-resolved analysis of large amplitude collective motion in metal clusters Metal clusters : close « cousins » of nuclei Time resolved : « Pump Probe.

Fluctuations in Strongly Interacting Fermi Gases Christian Sanner, Jonathon Gillen, Wujie Huang, Aviv Keshet, Edward Su, Wolfgang Ketterle Center for Ultracold.

Numerical Studies of Universality in Few-Boson Systems Javier von Stecher Department of Physics and JILA University of Colorado Probable configurations.

CUSTODIAL SYMMETRY IN THE STANDARD MODEL AND BEYOND V. Pleitez Instituto de Física Teórica/UNESP Modern Trends in Field Theory João Pessoa ─ Setembro 2006.

Universality in ultra-cold fermionic atom gases. with S. Diehl, H.Gies, J.Pawlowski S. Diehl, H.Gies, J.Pawlowski.

What are theorists most proud of? My answer: Universality Creep: v » v 0 exp{-(E 0 /E)  }  (D-2+2  e )/(2-  e ) universal, Equlibrium exponents (Bragg.

A new scenario for the metal- Mott insulator transition in 2D Why 2D is so special ? S. Sorella Coll. F. Becca, M. Capello, S. Yunoki Sherbrook 8 July.

NEUTRINOLESS DOUBLE BETA DECAY ANGULAR CORRELATION AND NEW PHYSICS Dmitry Zhuridov Particles and Fields Journal club Department of Physics National Tsing.

Physical Modeling – Fall MOMENTUM For a particle, momentum is: p = mv and.

Stability of a Fermi Gas with Three Spin States The Pennsylvania State University Ken O’Hara Jason Williams Eric Hazlett Ronald Stites Yi Zhang John Huckans.

Chapter 16: The Heat Capacity of a Solid

Few-body Physics in a Many-body World

D. Toivonen, M. Tokarev JINR, Dubna Z-scaling & High- pT and cumulative particle production in pp and pA collisions at high energies Z XXXII International.

Three-body recombination at vanishing scattering lengths in ultracold atoms Lev Khaykovich Physics Department, Bar-Ilan University, Ramat Gan, Israel.

Observation of an Efimov spectrum in an atomic system Matteo Zaccanti LENS, University of Florence.

Csörgő, T. 1 Observables and initial conditions from exact rotational hydro solutions T. Csörgő 1, I. Barna 1 and M.I. Nagy 1,3 1 MTA Wigner Research Center.

Efimov Physics in a Many-Body Background

Few-body physics with ultracold fermions Selim Jochim Physikalisches Institut Universität Heidelberg.

E. Kuhnle, P. Dyke, M. Mark, Chris Vale S. Hoinka, Chris Vale, P. Hannaford Swinburne University of Technology, Melbourne, Australia P. Drummond, H. Hu,

One Dimensional Bosons in a Harmonic trap Sung-po Chao Rutgers University 2008/02/20 Journal club.

Maurizio Rossi Critical Stability 2014 October 13, 2014 – Santos (Brazil) Department of Physics and Astronomy “Galileo Galilei”

Efimov Physics with Ultracold Atoms Selim Jochim Max-Planck-Institute for Nuclear Physics and Heidelberg University.

Triatomic states in ultracold gases Marcelo Takeshi Yamashita Universidade Estadual Paulista - Brazil  Lauro Tomio – IFT / Unesp  Tobias Frederico –

Lecture III Trapped gases in the classical regime Bilbao 2004.

Multifractality of random wavefunctions: recent progress

Efimov physics in ultracold gases Efimov physics in ultracold gases Rudolf Grimm “Center for Quantum Optics” in Innsbruck Austrian Academy of Sciences.

Challenges for Functional Renormalization. Exact renormalization group equation.

Scales of critically stable few-body halo system Tobias Frederico Instituto Tecnológico de Aeronáutica São José dos Campos - Brazil  Marcelo T. Yamashita.

Abstract It is well known that one-dimensional systems with uncorrelated disorder behave like insulators because their electronic states localize at sufficiently.

Experimental determination of Universal Thermodynamic Functions for a Unitary Fermi Gas Takashi Mukaiyama Japan Science Technology Agency, ERATO University.

Eiji Nakano, Dept. of Physics, National Taiwan University Outline: 1)Experimental and theoretical background 2)Epsilon expansion method at finite scattering.

Yukawa and scalar interactions induced by scalar relevant for neutrino masss generation are: Since is assumed to be an exact symmetry of the model has.

VERSITET NIKOLAJ THOMAS ZINNER DEPARTMENT OF PHYSICS AND ASTRONOMY AARHUS UNIVERSITET OCTOBER UNI STRONGLY INTERACTING QUANTUM PARTICLES IN ONE.

D. Jin JILA, NIST and the University of Colorado $ NIST, NSF Using a Fermi gas to create Bose-Einstein condensates.

September 10, 2002M. Fechner1 Energy reconstruction in quasi elastic events unfolding physics and detector effects M. Fechner, Ecole Normale Supérieure.

Deterministic preparation and control of a few fermion system.

Extremely dilute, but strongly correlated: Experiments with ultracold fermions.

An Unified Analysis of Macro & Micro Flow Systems… P M V Subbarao Professor Mechanical Engineering Department I I T Delhi Slip to No-slip in Viscous Fluid.

WEAK DECAYS: ALL DRESSED UP

Small fermionic systems : the common methods and challenges

Diffusion over potential barriers with colored noise

Thermal Properties of Materials

Institut d’Astrophysique de Paris

Density imbalanced mass asymmetric mixtures in one dimension

ultracold atomic gases

Sterile Neutrinos and WDM

Anderson localization of weakly interacting bosons

Extended Surface Heat Transfer

JLab6: Cluster structure connects to high-momentum components and internal quark modification of nuclei Short-Range Correlations (SRCs) dominated by np.

Role of Pions in Nuclei and Experimental Characteristics

Ehud Altman Anatoli Polkovnikov Bertrand Halperin Mikhail Lukin

Efimovian Expansion in Scale Invariant Quantum Gases

Probability Calculations

Some aspects of 1D Bose gases

The p-wave scattering of spin-polarized Fermi gases in low dimensions

Nuclear Forces - Lecture 5 -

Introduction Is there entanglement of black body radiation such as cosmic background radiation or black hole radiation? Entanglement of non-interacting.

Duality in Nuclei: The EMC Effect

Strongly correlated quantum walks in optical lattices

Accelerator Physics NMI and Synchrotron Radiation

R. Lazauskas Application of the complex-scaling

Magnetic dipole excitation and its sum rule for valence nucleon pair

Presentation transcript:

Single-particle momentum distributions for bosonic trimer states European Few-Body september/2013 Single-particle momentum distributions for bosonic trimer states in two and three dimensions Marcelo Takeshi Yamashita yamashita@ift.unesp.br Instituto de Física Teórica São Paulo State University - Brazil

Connecting few- and many-body physics Physical observables do not depend on the details of the short-range interaction For The two-body contact parameter short-range two-body correlations many-body thermodynamics Bosons 1D Olshanii/Dunjko (2003) Two-component Fermi gases Tan(2008) Experimentally verified Stewart (2010), Kuhnle (2010)

Functional form depends One more contact parameter... Let’s consider a bosonic system in the universal regime ( ) Functional form depends on dimensionality Three-body contact parameter Experimentally verified Wild et al. (2012) Two-body sector Three-body sector (3D) (two-body bound state with E2=0) Infinite three-body bound states Energies differ by a factor 515.03 Sizes differ by a factor 22.7 Efimov states discovered by Vitaly Efimov in 1970

Three-body AAB systems in 3D Spectator functions Inserting the ansätze

Asymptotic forms Asymptotic region? Validity of our approach ( )

3D Momentum distribution The asymptotic limit in n2 gives the leading-order term

and C is simply given by x 3(2p)3 = 53.197 “Exact” value: 53.097 C / k0 133Cs-133Cs-6Li 0.0274 87Rb-87Rb-6Li 0.0211 A = 1 0.0715 x 3(2p)3 = 53.197 “Exact” value: 53.097 Werner and Castin PRA 83, 063614 (2011)

Analysis of subleading terms Werner and Castin PRA 83, 063614 (2011) The nonoscillatory term of order qB-5 coming from n1 to n4 cancels for A =1. Can we extend this result to other mass ratios? After averaging out the oscillating part:

The nonoscillatory term of order qB-5 coming from n1 to n4 cancels for A =1. Can we extend this result to other mass ratios? A = 0.2, 1 and 1.57

What happens if we change to 2D? Efimov effect disappears D2(n) depends weakly on (n)

Leading-order term: two-body contact parameter Dividing C(n) by the “natural scale” E3

Asymptotic momentum distribution Conclusions Asymptotic momentum distribution 3D: qB-5 nonoscillatory term cancels for A = 0.2, 1 and 1.57 2D/3D: Analytical forms for the asymptotic spectator functions and momentum distribution for general A Functional form changes drastically when passing from 3D to 2D Considering the three-body energy as scale the two-body contact parameter is universal in 2D

Denmark Dmitri Fedorov Aksel Jensen Nikolaj Zinner Brazil Filipe Bellotti Tobias Frederico Marcelo Yamashita