Bulletin of the American Physical Society
APS March Meeting 2018
Volume 63, Number 1
Monday–Friday, March 5–9, 2018; Los Angeles, California
Session F42: Synthetic Physics: Synthetic Dimensions, Gauge Fields, and SpinOrbit CouplingInvited

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Sponsoring Units: DAMOP DCMP Chair: Dominik Schneble, Stony Brook University Room: LACC 502B 
Tuesday, March 6, 2018 11:15AM  11:51AM 
F42.00001: Exploring the interplay of topology, disorder, kinetic frustration, and interactions in synthetic momentumspace lattices Invited Speaker: Bryce Gadway There has been much success over the past few decades in exploring coherent quantum dynamics of cold atoms in pristine, homogeneous realspace optical lattices. The recent development of highlytunable synthetic lattices, based on parametric coupling between discrete quantum states, promises to open up myriad new systems and phenomena to experimental investigation. We describe our efforts to create synthetic lattices based on discrete momentum states of neutral atoms, which can be parametrically coupled with interfering Bragg laser fields. The unique spectroscopic control over all statetostate transitions in our synthetic lattice allows us to create almost any singleparticle tightbinding Hamiltonian, featuring nearly arbitrary arrangements of tunneling terms, artificial gauge fields, and siteenergy landscapes. In addition, a key aspect of our approach based on cold atoms is the natural presence of nonlinear interactions, which can lead to emergent, correlated phenomena. We describe several unique problems that this synthetic latticebased approach has allowed us to explore, dealing with the interplay of topology and disorder, disorder and kinetic frustration, and disorder and interactions. 
Tuesday, March 6, 2018 11:51AM  12:27PM 
F42.00002: TBD Invited Speaker: Leonardo Fallani This abstract not available. 
Tuesday, March 6, 2018 12:27PM  1:03PM 
F42.00003: Omnidirectional spin Hall effect in a Weyl spinorbit coupled atomic gas Invited Speaker: Gediminas Juzeliunas The threedimensional (3D) Weyl spinorbit coupling (SOC) can be created for ultracold atoms by laser coupling four atomic internal states [1] or using a specially chosen sequence of inhomogeneous magnetic pulses [2]. It is now shown that applying such a 3D Weyl SOC, a transverse spin current is generated in response to either a constant spinindependent force or a timedependent Zeeman field in an arbitrary direction [3]. This effect is the nonAbelian counterpart of the universal intrinsic spin Hall effect characteristic of the twodimensional Rashba SOC. We quantify the strength of such an omnidirectional spin Hall effect by calculating the corresponding conductivity for fermions and noncondensed bosons. The absence of any kind of disorder in ultracoldatom systems makes the observation of this effect viable. 
Tuesday, March 6, 2018 1:03PM  1:39PM 
F42.00004: Synthetic dimensions in ultracold molecules: quantum strings, membranes, and dissipationinduced topology Invited Speaker: Kaden Hazzard Ultracold molecules give rise to new types of correlated matter driven by their strong dipolar interactions and numerous rotational states. I will describe how one can exploit these rotational states as a "synthetic dimension", an extra effective spatial dimension in addition to the real physical ones. Hundreds of fully tunable synthetic lattice sites are feasible, in contrast to atoms, where synthetic dimensions are typically restricted to three sites. Molecules with synthetic dimensions show intriguing novel phenomena when frozen in place in a deep optical lattice and with microwaves applied to couple the rotational states. One possibility is a type of dissipationdriven topology. Another phase of matter spontaneously reduces its dimension, forming a fluctuating quantum string or membrane on which a strongly interacting condensate lives. I will describe this mechanism and our progress understanding the properties of this quantum membrane. 
Tuesday, March 6, 2018 1:39PM  2:15PM 
F42.00005: Using ultracold atoms to study microscopic behavior of topologically nontrivial systems. Invited Speaker: Dina Genkina Topologically nontrivial materials are of great interest for their robustness, with existing applications in metrology and potential applications in quantum computing. Quantum Hall systems provide one of the simplest examples of topologically nontrivial materials, exhibiting transverse conductance, quantized to a very precise degree in accordance with their topology. More generally, the topology of 2D lattices can be characterized in terms of a Chern number, that also defines the number of conducting edge channels at the boundary of finite systems. We experimentally explore how small a finite size system can be while still exhibiting bulk topological properties. We use the control and precise measurement ability afforded by cold atoms to observe the microscopic motion in the bulk without relying on collective conduction measurements, and extract a Chern number for our system. Our experiments were performed in a syntheticdimension lattice with of Bosecondensed 87 Rb [1,2,3] with about 1/3 flux quanta per unit cell, in thin strips only 3 and 5 sites wide. We applied a force along lattice's long dimension to sample the entire Brillouin zone, and demonstrated that for both a 3site wide strip and a 5site wide strip the bands still manifested nontrivial bulk topology [4,5].\\ \\ [1] A. Celi, P. Massignan, J. Ruseckas, N. Goldman, I.B. Spielman, G. Juzeliūnas, M. Lewenstein ,Synthetic gauge fields in synthetic dimensions. Phys. Rev. Lett. 112, 043001 (2014) [2] B. K. Stuhl, H.I Lu, L. M. Aycock, D. Genkina, I. B. Spielman, Visualizing edge states with an atomic Bose gas in the quantum Hall regime. Science 349, 1514–1518 (2015). [3] M. Mancini 1 , G. Pagano, G. Cappellini, L. Livi, M. Rider, J. Catani, C. Sias, P. Zoller, M. Inguscio, M. Dalmonte, L. Fallani. Observation of chiral edge states with neutral fermions in synthetic hall ribbons. Science 349, 1510– (2015). [4] Wang C, Gao C, Jian C M and Zhai H, Direct measurement of topological invariants in optical lattices. 2010 Phys. Rev. Lett. 105 160403 [5] S. Mugel, A. Dauphin, P Massignan, L. Tarruell, M. Lewenstein, C Lobo, A. Celi, Measuring Chern numbers in Hofstadter strips. Scipost Physics. 3. 10.21468/SciPostPhys.3.2.012. 
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