Kevin Slagle
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View article: Reweighted Time-Evolving Block Decimation for Improved Quantum Dynamics Simulations
Reweighted Time-Evolving Block Decimation for Improved Quantum Dynamics Simulations Open
We introduce a simple yet significant improvement to the time-evolving block decimation (TEBD) tensor network algorithm for simulating the time dynamics of strongly correlated one-dimensional (1D) mixed quantum states. The efficiency of 1D…
View article: The Gauge Picture of Quantum Dynamics
The Gauge Picture of Quantum Dynamics Open
Although local Hamiltonians exhibit local time dynamics, this locality is not explicit in the Schrödinger picture in the sense that the wavefunction amplitudes do not obey a local equation of motion. We show that geometric locality can be …
View article: Interpolating between the gauge and Schrödinger pictures of quantum dynamics
Interpolating between the gauge and Schrödinger pictures of quantum dynamics Open
Although spatial locality is explicit in the Heisenberg picture of quantum dynamics, spatial locality is not explicit in the Schrödinger picture equations of motion. The gauge picture is a modification of Schrödinger’s picture such that lo…
View article: Report on 2307.02369v1
Report on 2307.02369v1 Open
Although spatial locality is explicit in the Heisenberg picture of quantum dynamics, spatial locality is not explicit in the Schrödinger picture equations of motion.The gauge picture is a modification of Schrödinger's picture such that loc…
View article: Quantum Gauge Networks: A New Kind of Tensor Network
Quantum Gauge Networks: A New Kind of Tensor Network Open
Although tensor networks are powerful tools for simulating low-dimensional quantum physics, tensor network algorithms are very computationally costly in higher spatial dimensions. We introduce : a different kind of tensor network ansatz fo…
View article: Emergent quantum mechanics at the boundary of a local classical lattice model
Emergent quantum mechanics at the boundary of a local classical lattice model Open
We formulate a model in which quantum mechanics emerges from classical mechanics. Given a local Hamiltonian H acting on n qubits, we define a local classical model with an additional spatial dimension whose boundary dynamics is approximate…
View article: Interpolating Between the Gauge and Schrödinger Pictures of Quantum Dynamics
Interpolating Between the Gauge and Schrödinger Pictures of Quantum Dynamics Open
Although spatial locality is explicit in the Heisenberg picture of quantum dynamics, spatial locality is not explicit in the Schrödinger picture equations of motion. The gauge picture is a modification of Schrödinger's picture such that lo…
View article: Assembling Kitaev honeycomb spin liquids from arrays of 1D symmetry protected topological phases
Assembling Kitaev honeycomb spin liquids from arrays of 1D symmetry protected topological phases Open
The Kitaev honeycomb model, which is exactly solvable by virtue of an extensive number of conserved quantities, supports a gapless quantum spin liquid phase as well as gapped descendants relevant for fault-tolerant quantum computation. We …
View article: Y-cube model and fractal structure of subdimensional particles on hyperbolic lattices
Y-cube model and fractal structure of subdimensional particles on hyperbolic lattices Open
Unlike ordinary topological quantum phases, fracton orders are intimately dependent on the underlying lattice geometry. In this work, we study a generalization of the X-cube model, dubbed the Y-cube model, on lattices embedded in $H_2\time…
View article: Quantum Gauge Networks: A New Kind of Tensor Network
Quantum Gauge Networks: A New Kind of Tensor Network Open
Although tensor networks are powerful tools for simulating low-dimensional quantum physics, tensor network algorithms are very computationally costly in higher spatial dimensions. We introduce quantum gauge networks: a different kind of te…
View article: The Gauge Picture of Quantum Dynamics
The Gauge Picture of Quantum Dynamics Open
Although local Hamiltonians exhibit local time dynamics, this locality is not explicit in the Schrödinger picture in the sense that the wavefunction amplitudes do not obey a local equation of motion. We show that geometric locality can be …
View article: Quantum spin liquids bootstrapped from Ising criticality in Rydberg arrays
Quantum spin liquids bootstrapped from Ising criticality in Rydberg arrays Open
Arrays of Rydberg atoms constitute a highly tunable, strongly interacting venue for the pursuit of exotic states of matter. We develop a new strategy for accessing a family of fractionalized phases known as quantum spin liquids in two-dime…
View article: Emergent Quantum Mechanics at the Boundary of a Local Classical Lattice Model
Emergent Quantum Mechanics at the Boundary of a Local Classical Lattice Model Open
We formulate a conceptually new model in which quantum mechanics emerges from classical mechanics. Given a local Hamiltonian $H$ acting on $n$ qubits, we define a local classical model with an additional spatial dimension whose boundary dy…
View article: Dynamical Anyon Generation in Kitaev Honeycomb Non-Abelian Spin Liquids
Dynamical Anyon Generation in Kitaev Honeycomb Non-Abelian Spin Liquids Open
Relativistic Mott insulators known as "Kitaev materials" potentially realize spin liquids hosting non-Abelian anyons. Motivated by fault-tolerant quantum-computing applications in this setting, we introduce a dynamical anyon-generation pro…
View article: Microscopic characterization of Ising conformal field theory in Rydberg chains
Microscopic characterization of Ising conformal field theory in Rydberg chains Open
Rydberg chains provide an appealing platform for probing conformal field theories (CFTs) that capture universal behavior in a myriad of physical settings. Focusing on a Rydberg chain at the Ising transition separating charge density wave a…
View article: Dynamical anyon generation in Kitaev honeycomb non-Abelian spin liquids
Dynamical anyon generation in Kitaev honeycomb non-Abelian spin liquids Open
Relativistic Mott insulators known as 'Kitaev materials' potentially realize spin liquids hosting non-Abelian anyons. Motivated by fault-tolerant quantum-computing applications in this setting, we introduce a dynamical anyon-generation pro…
View article: Fast tensor disentangling algorithm
Fast tensor disentangling algorithm Open
Many recent tensor network algorithms apply unitary operators to parts of a tensor network in order to reduce entanglement. However, many of the previously used iterative algorithms to minimize entanglement can be slow. We introduce an app…
View article: Testing Quantum Mechanics using Noisy Quantum Computers
Testing Quantum Mechanics using Noisy Quantum Computers Open
We outline a proposal to test quantum mechanics in the high-complexity regime using noisy intermediate-scale quantum (NISQ) devices. The procedure involves simulating a non-Clifford random circuit, followed by its inverse, and then checkin…
View article: Report on 2105.09363v3
Report on 2105.09363v3 Open
We investigate the properties of foliated gauge fields and construct several foliated field theories in 3+1d that describe foliated fracton orders both with and without matter, including the recent hybrid fracton models.These field theorie…
View article: Report on 2105.09363v2
Report on 2105.09363v2 Open
We investigate the properties of foliated gauge fields and construct several foliated field theories in 3+1d that describe foliated fracton orders both with and without matter, including the recent hybrid fracton models.These field theorie…
View article: Report on 2105.09363v2
Report on 2105.09363v2 Open
We investigate the properties of foliated gauge fields and construct several foliated field theories in 3+1d that describe foliated fracton orders both with and without matter, including the recent hybrid fracton models.These field theorie…
View article: Report on 2104.08283v1
Report on 2104.08283v1 Open
Many recent tensor network algorithms apply unitary operators to parts of a tensor network in order to reduce entanglement.However, many of the previously used iterative algorithms to minimize entanglement can be slow.We introduce an appro…
View article: Report on 2104.08283v1
Report on 2104.08283v1 Open
Many recent tensor network algorithms apply unitary operators to parts of a tensor network in order to reduce entanglement.However, many of the previously used iterative algorithms to minimize entanglement can be slow.We introduce an appro…
View article: Foliated Quantum Field Theory of Fracton Order
Foliated Quantum Field Theory of Fracton Order Open
We introduce a new kind of foliated quantum field theory (FQFT) of gapped fracton orders in the continuum. FQFT is defined on a manifold with a layered structure given by one or more foliations, which each decompose spacetime into a stack …
View article: Report on 2012.07263v2
Report on 2012.07263v2 Open
The X-cube model, a prototypical gapped fracton model, was shown in Ref. [1] to have a foliation structure.That is, inside the 3 + 1D model, there are hidden layers of 2 + 1D gapped topological states.A screw dislocation in a 3 + 1D lattic…
View article: Charge transfer excitations, pair density waves, and superconductivity in moiré materials
Charge transfer excitations, pair density waves, and superconductivity in moiré materials Open
Transition-metal dichalcogenide (TMD) bilayers are a new class of tunable moiré systems attracting interest as quantum simulators of strongly interacting electrons in two dimensions. In particular, recent theory predicts that the correlate…
View article: Twisted foliated fracton phases
Twisted foliated fracton phases Open
In the study of three-dimensional gapped models, two-dimensional gapped states should be considered as a free resource. This is the basic idea underlying the notion of “foliated fracton order” proposed in Shirley et al. [Phys. Rev. X 8, 03…
View article: Unfrustrating the t-J Model: Exact d-wave BCS Superconductivity in the t'-J_z-V Model
Unfrustrating the t-J Model: Exact d-wave BCS Superconductivity in the t'-J_z-V Model Open
The t-J model is believed to be a minimal model that may be capable of describing the low-energy physics of the cuprate superconductors. However, although the t-J model is simple in appearance, obtaining a detailed understanding of its pha…
View article: Report on 1906.06344v1
Report on 1906.06344v1 Open
The t-J model is believed to be a minimal model that may be capable of describing the low-energy physics of the cuprate superconductors.However, although the t-J model is simple in appearance, obtaining a detailed understanding of its phas…