Bulletin of the American Physical Society
2019 Fall Meeting of the APS Division of Nuclear Physics
Volume 64, Number 12
Monday–Thursday, October 14–17, 2019; Crystal City, Virginia
Session ME: Developments in Lattice Field Theory |
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Chair: Kostas Orginos, William & Mary Room: Salon 5 |
Wednesday, October 16, 2019 2:00PM - 2:12PM |
ME.00001: Gluon Field Digitization for Quantum Computers Henry Lamm IV Simulations of QCD on quantum computers in the NISQ-era require the digitization of gluon field variables that uses the minimum amount of qubits. We present a scheme for digitizing $SU(3)$ gauge theories via its discrete subgroup $S(1080)$ with a modified action that allows simulations in the scaling regime down to lattice spacings of order $a\approx 0.08$ fm. With a classical Monte Carlo, we compute a set of observables with sub-percent precision at multiple lattice spacings and show that the continuum extrapolated value agrees with the full $SU(3)$ results. [Preview Abstract] |
Wednesday, October 16, 2019 2:12PM - 2:24PM |
ME.00002: Towards analog quantum simulations of lattice gauge theories with trapped ions Zohreh Davoudi, Mohammad Hafezi, Christopher Monroe, Guido Pagano, Alireza Seif, Andrew Shaw Gauge field theories play a central role in nuclear physics and are at the heart of the Standard Model of elementary particles and interactions. Despite significant progress in applying classical computational techniques to simulate gauge theories, it has remained a challenging task to compute the real-time dynamic of systems described by these theories, such as the evolution of matter under extreme conditions after heavy ion collisions. An exciting possibility that has been explored in recent years is the use of highly-controlled quantum systems to simulate, in an analog fashion, properties of a target system whose dynamics is difficult to compute. Engineered atom-laser interactions in a linear crystal of trapped ions offer a wide range of possibilities for quantum simulations of complex physical systems. Here, we present practical proposals for analog simulation of lattice gauge theories whose dynamics can be mapped into spin-spin interactions in any dimension. Future possibilities to extend such a mapping to a larger class of gauge field theories include devising higher-order spin interactions and taking advantage of the control over phononic excitations. [Preview Abstract] |
Wednesday, October 16, 2019 2:24PM - 2:36PM |
ME.00003: Extending the Reach of Real-Time Lattice Gauge Theory Evolution on Near-Term Quantum Devices Andrew Shaw, Zohreh Davoudi Certain computational problems in physics are estimated to require more classical computing resources than next-generation Exascale hardware will provide. A notable example is the calculation of real-time dynamics, as the time-complexity of classical evolution algorithms scales super-polynomially with the system size. Quantum computing algorithms may offer a relative speedup, and present an exciting alternative to study the evolution of lattice gauge theories. However, calculations on near-term quantum devices are limited by noise accumulation, setting a limit on the range of real-time dynamics that can be accessed. We present a new hybrid algorithm called segmented trotterization that extends the range of evolution through the use of quantum tomography (QT), which enables one to determine an unknown quantum state. In this algorithm, a quantum state is extracted with QT before the characteristic time-scale of the noise, so the state can be determined with only perturbative corruption due to decoherence. Subsequently reinitializing the state on fresh qubits allows one to continue the evolution. We demonstrate on the publicly available IBMQ-14 device that the evolution of the two-site Schwinger Model can be extended by a factor of $\sim \mathcal{O}(10)$. [Preview Abstract] |
Wednesday, October 16, 2019 2:36PM - 2:48PM |
ME.00004: Towards Quantum Simulating Non-Abelian Lattice Gauge Theory Indrakshi Raychowdhury In this talk, we discuss a complete and efficient formulation for SU(2) lattice gauge theory with fundamental matter and establish this to be a practical framework for digital as well as analog quantum simulation. Key features of this framework include a gauge-invariant and readily-digitized basis, together with a representation of the Hamiltonian in terms of simple ladder operators. We show that within this formulation, the physical sector of the non-Abelian lattice gauge theories are made equivalent to Abelian theories. Utilizing this feature, we can directly generalize the simulation techniques, already present for Schwinger model towards constructing proposals for simulating non-Abelian lattice gauge theories. [Preview Abstract] |
Wednesday, October 16, 2019 2:48PM - 3:00PM |
ME.00005: Matrix elements of bound states in a finite volume Andrew Jackura, Raúl Briceño, Maxwell Hansen Recently, a framework was developed for studying form factors of two-body states probed with an external current. Finite volume matrix elements that may be computed via lattice QCD are converted to infinite volume generalized form factors. These generalized form factors allow us to study the structure of composite states. In this talk, we consider the application of this formalism to bound states, and compare the leading finite volume effects to the general results of the framework. Specifically, we pay close attention to the implication of this formalism for the extraction of the form factors of the deuteron. [Preview Abstract] |
Wednesday, October 16, 2019 3:00PM - 3:12PM |
ME.00006: Taming Excited-state Contributions to Matrix Elements of Boosted Hadrons Colin Egerer, Joe Karpie, Raza Sufian, David Richards, Kostas Orginos, Jianwei Qiu, Robert Edwards, Balint Joo, Frank Winter, Tanjib Khan Lattice gauge field calculations provide an ab initio method to non-perturbatively study strongly-coupled theories, such as Quantum Chromodynamics (QCD), with controllable systematics. However due to the strong coupling characteristic of low-energy QCD, any operator used to interpolate a hadronic state from the vacuum is a best-guess and necessarily couples to all single and multi-particle states in the same symmetry channel. Spatial smearing and variational methods to improve operator-state overlaps are two well-established methods that facilitate the study of ground-state hadronic properties in lattice QCD. Overcoming excited-state contamination and a degrading signal-to-noise ratio becomes a formidable task as a hadron's momentum is increased. In this presentation we discuss a modification of distillation, an efficient type of smearing, which when combined with the variational method leads to a particularly powerful prescription that not only separates ground- and excited-states to high precision, but continues to do so for large lattice momenta. This development is of particular importance to the many lattice efforts seeking to determine parton distributions, form factors (FFs) and transition FFs, for which high momenta is an essential ingredient. [Preview Abstract] |
Wednesday, October 16, 2019 3:12PM - 3:24PM |
ME.00007: Pion-pion Scattering with Elongated Boxes Christopher Culver Jr, Andrei Alexandru, Maxim Mai, Frank Lee, Michael Doring Pion-pion scattering offers an important benchmark for a lattice QCD study of hadron-hadron interactions. Scattering can happen in one of three isospin channels, each having distinct properties. The attractive I $=$ 0 and I $=$ 1 channels are dominated by the broad $\sigma $ and narrow $\rho $ resonances, respectively, while the I $=$ 2 channel has no low energy resonance. Our group has calculated the $\sigma $ and $\rho $ resonance properties using elongated boxes to scan the relevant kinematic region at two pion masses. Here we present new results for the isospin-2 channel, thus completing the full study of $\pi \pi $ scattering. In addition, we establish a link to the physical point of all three channels simultaneously using the Inverse Amplitude Method.~~ [Preview Abstract] |
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