Condensed matter physics is the branch of physics that studies systems of very large numbers of particles in a condensed state, like solids or liquids. Condensed matter physics wants to answer questions like: why is a material magnetic? Or why is it insulating or conducting? Or new, exciting questions like: what materials are good to make a reliable quantum computer? Can we describe gravity as the behavior of a material? The behavior of a system with many particles is very different from that of its individual particles. We say that the laws of many body physics are emergent or collective. Emergence explains the beauty of physics laws.
Format results

21 talksCollection Number C16017
Talk


Comparing Classical and Quantum Methods for Supervised Machine Learning
Ashish Kapoor Microsoft Corporation

Classification on a quantum computer: Linear regression and ensemble methods
Maria Schuld University of KwaZuluNatal

Rejection and Particle Filtering for Hamiltonian Learning
Christopher Granade Dual Space Solutions, LLC


Physicsinspired techniques for association rule mining
Cyril Stark ETH Zurich  Institut für Theoretische Physik

Physical approaches to the extraction of relevant information
David Schwab Northwestern University

Learning with QuantumInspired Tensor Networks
Miles Stoudenmire Flatiron Institute


4 Corners Southwest Ontario Condensed Matter Symposium
9 talksCollection Number C16007Talk


Superconductivity and Charge Density Waves in the Clean 2D Limit
Adam Tsen Institute for Quantum Computing (IQC)

Honeycomb lattice quantum magnets with strong spinorbit coupling
YoungJune Kim University of Toronto



Stochastic Resonance Magnetic Force Microscopy: A Technique for Nanoscale Imaging of Vortex Dynamics
Raffi Budakian Institute for Quantum Computing (IQC)

Spin Slush in an Extended Spin Ice Model
Jeff Rau University of Waterloo

Universal Dynamic Magnetism in the Ytterbium Pyrochlores
Alannah Hallas McMaster University



Dynamics from Dispersion: a versatile tool
Makinde Ogunnaike Massachusetts Institute of Technology (MIT)

LongRange Order on Line Defects in Ising Conformal Field Theories
Ryan Lanzetta University of Washington

LiebSchultzMattis anomalies as obstructions to gauging  VIRTUAL
Sahand Seifnashri Institute for Advanced Study (IAS)

Anomalies of NonInvertible Symmetries in 3+1d
PoShen Hsin California Institute of Technology (Caltech)


Nonlinear bosonization, (Non)Fermi Liquids, and the anomalous Hall effect
YiHsien Du University of Chicago

SpinPeierls instability of the U(1) Dirac spin liquid
Urban Seifert University of California, Santa Barbara


Phase transitions out of quantum Hall states in moire bilayers
Senthil Todadri Massachusetts Institute of Technology (MIT)  Department of Physics


4 Corners Southwest Ontario Condensed Matter Symposium
9 talksCollection Number C160074 Corners Southwest Ontario Condensed Matter Symposium 
Equilibrium dynamics of infiniterange quantum spin glasses in a field  VIRTUAL
Maria Tikhanovskaya Harvard University
We determine the lowenergy spectrum and Parisi replica symmetry breaking function for the spin glass phase of the quantum Ising model with infiniterange random exchange interactions and transverse and longitudinal (h) fields. We show that, for all h, the spin glass state has full replica symmetry breaking, and the local spin spectrum is gapless with a spectral density which vanishes linearly with frequency. These results are obtained using an action functional  argued to yield exact results at low frequencies  that expands in powers of a spin glass order parameter, which is bilocal in time, and a matrix in replica space. We also present the exact solution of the infiniterange spherical quantum protor model at nonzero h: here, the spin glass state has onestep replica symmetry breaking, and gaplessness only appears after imposition of an additional marginal stability condition.

Zoom link https://pitp.zoom.us/j/98757418107?pwd=U1hiQnpKTDI4ajUyL04zRmQ4dVg3UT09

Dynamics from Dispersion: a versatile tool
Makinde Ogunnaike Massachusetts Institute of Technology (MIT)
Driven by rapid advancements in quantum simulation capabilities across diverse physical platforms, open quantum systems are now of great interest, with special focus on thermalization processes of interacting manybody systems. Various techniques have been used to study operator spreading, to characterize entanglement dynamics, and even to identify exotic phases enabled by dynamical symmetries.
This talk will present a novel perspective on dynamical quantum systems that is capable of reproducing many previous results under a single intuitive framework and enables new results in symmetryconstrained systems. This is accomplished via a mapping between the dynamics averaged over Brownian random time evolution and the lowenergy spectrum of a Lindblad superoperator, which acts as an effective Hamiltonian in a doubled Hilbert space. Doing so, we identify emergent hydrodynamics governing charge transport in open quantum systems with various symmetries, constraints, and ranges of interactions. By explicitly constructing dispersive excited states of this effective Hamiltonian using a single mode approximation, we provide a comprehensive understanding of diffusive, subdiffusive, and superdiffusive relaxation in manybody systems with conserved multipole moments and variable interaction ranges. Our approach further allows us to identify exotic Krylovspaceresolved diffusive relaxation despite the presence of dipole conservation, which we verify numerically. Therefore, we provide a simple, general, and versatile framework to qualitatively understand the dynamics of conserved operators under random unitary time evolution, and by extension, thermalizing quantum systems.O. Ogunnaike, J. Feldmeier, J.Y. Lee, "Unifying Emergent Hydrodynamics and Lindbladian LowEnergy Spectra across Symmetries, Constraints, and LongRange Interactions," arXiv:2304.13028 (accepted to PRL)


LongRange Order on Line Defects in Ising Conformal Field Theories
Ryan Lanzetta University of Washington
It is wellknown that onedimensional systems at finite temperature, such as the classical Ising model, cannot spontaneously break a discrete symmetry due to the proliferation of domain walls. The validity of this statement rests on a few assumptions, including the spatial locality of interactions. In a situation where a onedimensional system exists as a defect in a critical, higherdimensional bulk system, the coupling between defect and bulk can induce an effective longrange interaction on the defect. It is thus natural to ask if longrange order can be stabilized on a defect in a critical bulk, which amounts to asking whether domain walls on the defect are relevant or not in the renormalization group sense. I will explore this question in the context of Ising conformal field theory in two and higher dimensions in the presence of a localized symmetrybreaking field. With both perturbative techniques and numerical conformal bootstrap, I will provide evidence that indeed the defect domain wall must be relevant when 2 < d < 4. For the bootstrap calculations, it is essential to include “endpoint” primary fields of the defect, which lead to a rigorous and powerful way to input bulk data. I will additionally give tight estimates of a number of other quantities, including scaling dimensions of defect operators and the defect entropy, and I will conclude with a discussion of future directions.

Zoom link https://pitp.zoom.us/j/92671628591?pwd=WjNma3VEV2M4T011dFlLMzM2ZUJiUT09

LiebSchultzMattis anomalies as obstructions to gauging  VIRTUAL
Sahand Seifnashri Institute for Advanced Study (IAS)
In this talk, we identify anomalies of 1+1d lattice Hamiltonian systems as ’t Hooft anomalies. We consider anomalies in internal symmetries as well as LiebSchultzMattis (LSM) type anomalies involving lattice translations. Using topological defects, we derive a simple formula for the ‘anomaly cocycle’ and show it is the obstruction to gauging even on the lattice. We reach this by introducing a systematic procedure to gauge arbitrary internal symmetries on the lattice that may not act onsite. As a byproduct of our gauging procedure, we construct noninvertible lattice translation symmetries from LSM anomalies.

Zoom link https://pitp.zoom.us/j/98084408560?pwd=cllSVnpWcEhPK21aVDZubU4yYWNyQT09

Anomalies of NonInvertible Symmetries in 3+1d
PoShen Hsin California Institute of Technology (Caltech)
Anomaly of global symmetry is an important tool to study dynamics of quantum systems. In recent years, new noninvertible global symmetries are discovered in many quantum systems such as the 2d Ising model, Standard Model like theories, and lattice models. I will discuss constraints on the dynamics in 3+1d systems using anomalies of noninvertible symmetries from the perspective of bulkboundary correspondence. The discussion is based on the work https://arxiv.org/abs/2308.11706 with Clay Cordova and Carolyn Zhang.

Zoom link https://pitp.zoom.us/j/99162815973?pwd=M01nZXJIN2tCRjhuZlljNU1id01XQT09

A New Picture of Quantum Dynamics and A New Kind of Tensor Network
I will introduce a new picture of quantum dynamics that might be thought of as "gauging" Schrodinger's picture that results in many "local" Hilbert spaces [1]. Truncating the dimensions of the local Hilbert spaces in this new picture yields an exciting new kind of tensor network whose computational cost does not increase with increasing spatial dimension (for fixed bond dimension) [2]. More detail: Although quantum dynamics are local for local Hamiltonians, the locality is not explicit in the Schrodinger picture since the wavefunction amplitudes do not obey a local equation of motion. In the first part of this talk, I will introduce a new picture of quantum dynamics—the gauge picture—which is similar to Schrodinger's picture, but with the feature that spatial locality is explicit in the equations of motion. In a sense, the gauge picture might be thought of as the result of "gauging" the global unitary symmetry of quantum dynamics into a local symmetry[1]. In the second part of the talk, I discuss a new kind of tensor network ansatz that is inspired from the gauge picture. In the gauge picture, different regions of space are associated with different Hilbert spaces, which are related by gauge connections. By relaxing the unitary constraint on the gauge connections, we can truncate the Hilbert space dimensions associated with different regions to obtain an approximate description of quantum dynamics. This truncated gauge picture, which we dub "quantum gauge network", is intriguingly similar to a classical lattice gauge theory coupled to a Higgs field (which are "local" wavefunctions in the gauge picture), but with nonunitary connections. In one spatial dimension, a quantum gauge network can be easily mapped to a matrix product density operator, and a matrix product state can be mapped to a quantum gauge network. Unlike tensor networks such as PEPS, quantum gauge networks boast the advantage that for fixed bond dimension, the computational cost does not increase with the number of spatial dimensions! Encoding fermionic wavefunctions is also remarkably straightforward. We provide a simple algorithm for approximately simulating quantum dynamics of bosonic or fermionic Hamiltonians in any spatial dimension. We compare the new quantum dynamics algorithm to exact methods for fermion systems in up to three spatial dimensions [2]. [1] The Gauge Picture of Quantum Dynamics. arXiv:2210.09314 [2] Quantum Gauge Networks: A New Kind of Tensor Network. arXiv:2210.12151

Zoom link: https://pitp.zoom.us/j/94596192271?pwd=MytzNUx4ZEZEemkvcEEzbllWM1J6QT09

Nonlinear bosonization, (Non)Fermi Liquids, and the anomalous Hall effect
YiHsien Du University of Chicago
Fermi liquid theory is a cornerstone of condensed matter physics. I will show how to formulate Fermi liquid theory as an effective field theory. In this approach, the space of lowenergy states of a Fermi liquid is identified with a coadjoint orbit of the group of canonical transformations. The method naturally leads to a nonlinear bosonized description of the Fermi liquid with nonlinear corrections fixed by the geometry of the Fermi surface. I will present that the resulting local effective field theory captures both linear and nonlinear effects in Landau’s Fermi liquid theory. The approach can be extended to encompass nonFermi liquids, which correspond to strongly interacting fixed points obtained by deforming Fermi liquids with relevant interactions. I will also discuss how Berry curvature can be captured in the effective field theory approach.

Zoom link: https://pitp.zoom.us/j/95381972217?pwd=Ni9iQ2hrUVNnWTJERDRmZk9GaW1jZz09

SpinPeierls instability of the U(1) Dirac spin liquid
Urban Seifert University of California, Santa Barbara
The presence of many competing classical ground states in frustrated magnets implies that quantum fluctuations may stabilize quantum spin liquids (QSL), which are characterized by fractionalized excitations and emergent gauge fields. A paradigmatic example is the U(1) Dirac spin liquid (DSL), which at lowenergies is described by emergent quantum electrodynamics in 2+1 dimensions (QED3), a strongly interacting field theory with conformal symmetry. While the DSL is believed to be intrinsically stable, its robustness against various other couplings has been largely unexplored and is a timely question, also given recent experiments on triangularlattice rareearth oxides. In this talk, using complementary perturbation theory and scaling arguments as well as results from numerical DMRG simulations, I will show that a symmetryallowed coupling between (classical) finitewavevector lattice distortions and monopole operators of the U(1) Dirac spin liquid generally induces a spinPeierls instability towards a (confining) valencebond solid state. Away from the limit of static distortions, I will argue that the phonon energy gap establishes a parameter regime where the spin liquid is expected to be stable.

Zoom link https://pitp.zoom.us/j/96764903405?pwd=Y0gyU3hGSC9va0hzWnZRZFBOVmRCZz09

Ultraslow dynamics, fragile fragmentation, and geometric group theory
An ongoing program of work in statistical physics and quantum dynamics is concerned with understanding the character of systems which follow an unconventional approach towards thermal equilibrium. In this talk, I will add to this story by introducing examples of simple 1D systemsboth classical and quantumwhich thermalize in very unusual ways. These examples have dynamics which is strictly local and translationinvariant, but in spite of this, they: a) can have very long thermalization times, with expectation values of local operators relaxing only over times exponential in the system size; and b) can thermalize only when they are placed in extremely large baths, with the required bath size growing exponentially (or even faster) in system size. Proofs of these results will be given using techniques from geometric group theory, a beautiful area of mathematics concerned with the complexity and geometry of infinite discrete groups. This talk will be based on a paper in preparation with Shankar Balasubramanian, Sarang Golaparakrishnan, and Alexey Khudorozhkov.

Zoom link: https://pitp.zoom.us/j/99430001465?pwd=NENlS1M5UGc5UWM1ekQvRWFrZGYyUT09

Phase transitions out of quantum Hall states in moire bilayers
Senthil Todadri Massachusetts Institute of Technology (MIT)  Department of Physics
Quantum Hall phases are the most exotic experimentally established quantum phases of matter.Recently they have been discovered at zero external magnetic field in two dimensional moire materials. I will describe recent work (with XueYang Song and YaHui Zhang) on their proximate phases and associated phase transitions that is motivated by the high tunability of thede moire systems. These phase transitions (and some of the proximate phases) are exotic as well, and realize novel ‘beyond Landau’ criticality that have been explored theoretically for many years. I will show that these moiré platforms provide a great experimental opportunity to study these unconventional phase transitions and related unconventional phases, thereby opening a new direction for research in quantum matter.

Zoom link : https://pitp.zoom.us/j/97483204701?pwd=S2x4ck9tNHFjM0RiTDNWNFhaMk9SUT09