Phase sensitive measurements of order parameters for ultracold atoms through two particles interferometry

Abstract

Nontrivial symmetry of order parameters is crucial in some of the most interesting quantum many-body states of ultracold atoms and condensed matter systems. Examples in cold atoms include p-wave Feshbach molecules and d-wave paired states of fermions that could be realized in optical lattices in the Hubbard regime. Identifying these states in experiments requires measurements of the relative phase of different components of the entangled pair wavefunction. We propose and discuss two schemes for such phase sensitive measurements, based on two-particle interference revealed in atom-atom or atomic density correlations. Our schemes can also be used for relative phase measurements for non-trivial particle-hole order parameters, such as d-density wave order.

4 pages, 4 figures

References in corpus (15)

• Many-Body Physics with Ultracold Gases
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Spatial quantum noise interferometry in expanding ultracold atom clouds
• Resonantly-paired fermionic superfluids
• Camparison of the Hanbury Brown-Twiss effect for bosons and fermions
• Ultracold fermions and the SU(N) Hubbard model
• Fermi liquid instabilities in the spin channel
• p-wave Feshbach molecules
• Observation of atom pairs in spontaneous four wave mixing of two colliding Bose-Einstein Condensates
• Single-particle-sensitive imaging of freely propagating ultracold atoms
• Dynamic generation of spin orbit coupling
• Imaging of s and d partial-wave interference in quantum scattering of identical bosonic atoms
• Engineering Superfluidity in Bose-Fermi Mixtures of Ultracold Atoms
• Hanbury Brown and Twiss correlations in atoms scattered from colliding condensates
• Interferometric probe of paired states

Cited by in corpus (18)

• An atomic Hong-Ou-Mandel experiment
• Exploration of doped quantum magnets with ultracold atoms
• Experimental Characterization of Two-Particle Entanglement through Position and Momentum Correlations
• Ideal n-body correlations with massive particles
• Tunable source of correlated atom beams
• Entanglement analysis of two-atom nonlinear JCM with nondegenerate two-photon transition, Kerr nonlinearity and two-mode Stark shift
• Proposal for a motional-state Bell inequality test with ultracold atoms
• Dichotomy of heavy and light pairs of holes in the $t-J$ model
• Phase-Sensitive Detection for Unconventional Bose-Einstein Condensations
• Fermion pairing in mixed-dimensional atomic mixtures
• Phase operators and blurring time of a pair-condensed Fermi gas
• Magnifying the Wave Function of Interacting Fermionic Atoms
• Quadrature interferometry for nonequilibrium ultracold bosons in optical lattices
• Charge-impurity-induced Majorana fermions in topological superconductors
• $n$-body anti-bunching in a degenerate Fermi gas of ${}^3$He* atoms
• Influence of Gold Coating and Interplate Voltage on the Performance of Chevron Micro-Channel Plates for the Time and Space Resolved Single Particle Detection
• d-wave Superfluid with Gapless Edges in a Cold Atom Trap
• d_{xy}-Density wave in fermion-fermion cold atom mixtures