Bulletin of the American Physical Society
APS March Meeting 2018
Monday–Friday, March 5–9, 2018; Los Angeles, California
Session Y26: Interacting Quantum Gases 
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Sponsoring Units: DAMOP Chair: Christopher Hooley, University of St. Andrews Room: LACC 404A 
Friday, March 9, 2018 11:15AM  11:27AM 
Y26.00001: Comparative Study of OneDimensional Bose and Fermi Gases with Contact Interactions Yuta Sekino , Shina Tan , Yusuke Nishida Onedimensional spinless Bose and Fermi gases with contact interactions have the close interrelation via Girardeau’s BoseFermi mapping, leading to the correspondences in their energy spectra and thermodynamics. However, correlation functions are in general not identical between these systems. We derive in both systems the universal relations for correlation functions, which hold for any equilibrium state [1]. These relations include the highmomentum behaviors of static structure factors and momentum distributions as well as energy relations, which connect the sums of kinetic and interaction energies to the momentum distributions. The relations involve two and threebody contacts, which measure local pair and triad correlations, respectively. We clarify how the relations for bosons and fermions differ and are connected with each other. In particular, we find that the threebody contact makes no contribution to the bosonic energy relation, but it plays a crucial role in fermionic one. [1] Y. Sekino, S. Tan, and Y. Nishida, arXiv:1710.01909. 
Friday, March 9, 2018 11:27AM  11:39AM 
Y26.00002: Virial expansion for the Tan contact and BethUhlenbeck formula from 2D SO(2,1) anomalies Wilder DAZA ROMERO , Chris Lin , Carlos R Ordonez The relationship between 2D $SO(2,1)$ conformal anomalies and the virial expansion is explored, using recently developed pathintegral methods. In the process, the BethUhlenbeck formula for the shift of the second virial coefficient $\delta b_2$ is obtained, as well as a virial expansion for the Tan contact for these systems. A possible extension of these techniques for higher order shifts is discussed. 
Friday, March 9, 2018 11:39AM  11:51AM 
Y26.00003: Achieving higher superfluid transition Tc in atomic Fermi gases using mixed dimensionality Qijin Chen , Leifeng Zhang , Jibiao Wang , Yanming Che Achieving a higher superfluid transition Tc has been a goal for the fields of superconductivty and atomic Fermi gases. In this talk, I will present a study on the exotic superfluid and pairing phenomena in two component atomic Fermi gases in mixed dimensions, where one component feels a regular 3D continuum space, while the other is subject to a 1D optic lattice potential. Via tuning the lattice spacing and depth, one can manipulate the effective dimensionality of the lattice component from quasi3D to quasi1D. I shall use a pairing fluctuation theory to address the pairing phenomena beyond BCS meanfield approximations; when the interaction is strong, pairing fluctuations lead to a pseudogap and necessarily suppress Tc from its meanfield solution. In addition to the exotic pairing phenomena caused by Fermi surface mismatch, here we show that one can tune the shape of the Fermi surface of the lattice component such that the maximum Tc attainable in such a system well surpasses that in an ordinary 3D Fermi gas, making the superfluid phase easier to access experimentally. 
Friday, March 9, 2018 11:51AM  12:03PM 
Y26.00004: swave Contacts of Quantum Gases in Quasione and Quasitwo Dimensions Mingyuan He , Qi Zhou Contact and universal thermodynamic relations provide physicists a unique and powerful tool to bridge few and manybody physics in dilute quantum systems and have been extensively studied in different dimensions separately in the past decade. In quasione or quasitwodimensional traps with strong transverse confinements, quantum gases behave as strictly one or twodimensional systems at large length scales, while the twobody scattering intrinsically has threedimensional characteristics at short distance such that an exact description of any universal thermodynamic relation requires threedimensional contacts. A fundamental question arises as to whether one or twodimensional contacts, which were originally defined for strictly one or two dimensions, are capable of describing quantum gases in quasione or quasitwodimensional traps. In this talk, I will show an exact relation between the three and lowdimensional contacts in these highly anisotropic traps. Such relation allows one to directly connect physical quantities at different length or momentum scales, and to characterize the quasione or quasitwodimensional traps using universal thermodynamic relations that were derived for strict one or two dimensions. 
Friday, March 9, 2018 12:03PM  12:15PM 
Y26.00005: Strong coupling effects on pwave contacts of a onecomponent ultracold Fermi gas Daisuke Inotani , Yoji Ohashi In this presentation, we investigate two pwave contacts C_{v} and C_{R}, which are respectively related to the scattering volume v and the effective range R of a pwave interaction, of a onecomponent ultracold Fermi gas within the framework of a strongcoupling theory developed by Nozieres and SchmittRink [1]. We show that, as decreasing temperature, while in the strongcoupling regime C_{v} monotonically increases, in the weakcoupling regime C_{v} start to decrease at some temperature. We clarify the physical origin of this nonmonotonic temperature dependence of C_{v} in the weakcoupling regime. 
Friday, March 9, 2018 12:15PM  12:27PM 
Y26.00006: KosterlitzThouless Transition in 2D Interacting Bose Systems Pengtao Shen , Benjamin Fregoso , Khandker Quader We explore the possibility of KosterlitzThouless (KT) transition in interacting twodimensional (2D) Bose systems. To go beyond meanfield theory and treat correlations, we use a Matsubara Green’s function method, and study scaling structure of the interacting Green’s function just above the transition. We use the BoseEinstein condensation criterion that the chemical potential equals the selfenergy at zero frequency and momentum, thereby making the spectrum gapless. We calculate numerically selfconsistent solutions of selfenergy to 2nd order in the interaction strength, for the entire range of momentum, k, and compare our findings with analytic results in the limits of low and highk. This allows us to calculate a universal scaling parameter (independent of interaction strength) in the scaling equation for critical density and critical temperature, as well as the critical temperature, and jump in superfluid mass density. We examine the possibility of applying this method to 2D dipolar Bose systems. 
Friday, March 9, 2018 12:27PM  12:39PM 
Y26.00007: Classical and quantum analog of a black hole in Rainbow gravity Maria Chiara Braidotti , Claudio Conti Gravity analogues aim to furnish experimental counterparts to gravitational physics for allowing the study of gravitational effects through artificial systems in the laboratory. However, these studies limit their analysis to describe quantum phenomenological aspects, such as Hawking radiation and black hole physics, through classical experiments, not entering in the theory of quantum gravity. Here, we propose a classical and quantum simulation of a black hole in the frame of rainbow gravity, which is a recent theory of quantum gravity. This theory modifies general relativity by introducing an energy dependent metric. We show that classical nonlinear waves in nonlocal media, as those in BoseEinstein condensation systems and nonlinear optics, provide the framework for simulating curved spacetime in proximity of a Kerr black hole as dictated by the rainbow gravity scenario. Furthermore, a fully quantum emulation is reported. Phasespace methods allow the study of superradiance emission form a spinning black hole. These results lead to advances for experimental testing quantum gravity theories and quantum field theory in curved manifolds, and may inspire novel tools for open problems in nonlinear quantum physics. 
(Author Not Attending)

Y26.00008: Realizing FuldeFerrell Superfluids via a DarkState Control of Feshbach Resonances Lianyi He , Hui Hu , XiaJi Liu We propose that the longsought FuldeFerrell superfluidity with nonzero 
Friday, March 9, 2018 12:51PM  1:03PM 
Y26.00009: Dynamics of pair, trion, and other phases of one dimensional Fermi mixtures Binbin Tian , Yuchi He , Roger Mong , David Pekker We consider mixtures of two or three component fermions in one dimension. These mixtures are known to have rich phase diagrams. For example, three component mixtures with attractive interactions include (a) paired, (b) colorsuperfluid, and (c) trion phases. In order to understand how to distinguish these phases experimentally, we study the dynamics of these mixtures using timeevolvingblockdecimation (TEBD). We focus on two types of experiments. First, we investigate the dynamics after a local perturbation, as would be measured in a coldatoms experiment. Second, we compute the unequaltime correlation functions and use linear response theory to obtain the dc conductivity at a finite bias, as would be measured in a solidstate tunnel spectroscopy experiment. 
Friday, March 9, 2018 1:03PM  1:15PM 
Y26.00010: Quantum simulations of the Abelian Higgs model with a bosonic ladder Yannick Meurice , Jin Zhang , Shanwen Tsai We propose to use a physical ladder of bosonic atoms to quantum simulate a lattice gauge theory called the Abelian Higgs model. 
Friday, March 9, 2018 1:15PM  1:27PM 
Y26.00011: Fermi Liquid Parameters from a Crossing Symmetric Equations Model for the Unitary Fermi Gas Kelly Reidy , Kevin Bedell , Khandker Quader We study medium effects in a 3D Fermi system with attractive interaction of arbitrary strength, in particular, close to the unitary limit. Fermi liquid interaction parameters, characterizing effects of the medium, are obtained employing a crossingsymmetric equations method. Using these we calculate scattering amplitudes, which allow us to study thermodynamics, transport and pairing properties, and calculate the Berstch parameter. We discuss how our results may apply to cold gas near the unitary limit. 
Friday, March 9, 2018 1:27PM  1:39PM 
Y26.00012: Theoretical Study of LiCs Degenerate Trapped FermiBose Mixtures Han Fu , Fnu Setiawan , Kathryn Levin Recent experiments by deSalvo et al [ArXiv 1706.01220] have observed a 
Friday, March 9, 2018 1:39PM  1:51PM 
Y26.00013: Trial Wave Functions for RingTrapped Ions and Neutral Atoms: Microscopic Description of the Quantum SpaceTime Crystal Constantine Yannouleas , Uzi Landman A theory for quantum spacetime crystals (QSTCs) of N interacting and ringconfined rotating particles is presented. The QSTC manybody trial wave functions are obtained via symmetry breaking at the meanfield level followed by symmetry restoration using projection techniques. These wave functions are stationary states and preserve the rotational symmetries, and at the same time they reflect the pointgroup 
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