We investigate relaxation in the recently discovered ``fracton'' models and discover that these naturally host glassy quantum dynamics absence of quenched disorder. begin with a discussion ``type I'' fracton models, taxonomy Vijay, Haah, Fu. demonstrate systems, mobility charges is suppressed exponentially inverse temperature. further when zero-temperature type I model placed contact finite-temperature heat bath, approach to equilibrium logarithmic function time over an wide window scales....

We propose a general framework for studying two-dimensional (2D) topologically ordered states subject to local correlated errors and show that the resulting mixed state can display (imTO)—topological order is not expected occur in ground of 2D gapped Hamiltonians. Specifically, we decoherence, previously interpreted as anyon condensation doubled Hilbert space, more naturally phrased as, provides physical mechanism for, “gauging out” anyons original space. find gauging out generically results...

We present a family of local quantum channels whose steady states exhibit stable mixed-state symmetry-protected topological (SPT) order. Motivated by recent experimental progress on "erasure conversion" techniques that allow one to identify (herald) decoherence processes, we consider open systems with biased erasure noise, which leads strongly symmetric heralded errors. utilize this heralding construct correction protocol effectively confines errors into short-ranged pairs in the state....

We introduce a class of gapped three-dimensional models, dubbed "cage-net fracton models," which host immobile excitations in addition to non-Abelian particles with restricted mobility. Starting from layers two-dimensional string-net whose spectrum includes anyons, we condense extended one-dimensional "flux-strings" built out point-like excitations. Flux-string condensation generalizes the concept anyon familiar conventional topological order and allows us establish properties ordered...

Fractons are emergent particles which immobile in isolation, but can move together dipolar pairs or other small clusters. These exotic excitations naturally occur certain quantum phases of matter described by tensor gauge theories. Previous research has focused on the properties numbers fractons and their interactions, effectively mapping out "Standard Model" fractons. In present work, however, we consider systems with a finite density either bound states, focus $U(1)$ fracton models. We...

Fracton phases exhibit striking behavior which appears to render them beyond the standard topological quantum field theory (TQFT) paradigm for classifying gapped matter. Here, we explore fracton from perspective of defect TQFTs and show that networks---networks defects embedded in stratified 3+1D TQFTs---provide a unified framework describing various types phases. In this picture, sub-dimensional excitations characteristic fractonic matter are consequence mobility restrictions imposed by...

We study novel three-dimensional gapped quantum phases of matter which support quasiparticles with restricted mobility, including immobile ``fracton'' excitations. So far, most existing fracton models may be instructively viewed as generalized Abelian lattice gauge theories. Here, by analogy Dijkgraaf-Witten topological theories, we discover a natural generalization models, obtained twisting the symmetries. Introducing transformation operators carrying an extra phase factor depending on...

We investigate the fate of topological states on fractal lattices. Focusing a spinless chiral $p$-wave paired superconductor, we find that this model supports two qualitatively distinct phases when defined Sierpinski gasket. While trivial phase is characterized by self-similar spectrum with infinitely many gaps and extended eigenstates, ``topological'' has gapless hosts propagating along edges graph. Besides employing theoretical probes such as real-space Chern number, inverse participation...

The authors study the spectral form factor for Floquet random quantum circuits and analytically identify onset of chaos in many-body systems subject to local constraints, showing that with conserved higher moments display subdiffusive dynamics.

We demonstrate that crystal defects can act as a probe of intrinsic non-Hermitian topology. In particular, in point-gapped systems with periodic boundary conditions, pair dislocations may induce skin effect, where an extensive number Hamiltonian eigenstates localize at only one the two dislocations. An example such phase are two-dimensional exhibiting weak topology, which adiabatically related to decoupled stack Hatano-Nelson chains. Moreover, we show strong point-gap topology also result...

Recently, a new class of three-dimensional spin liquid models have been theoretically discovered, which feature generalized Coulomb phases emergent symmetric tensor $U(1)$ gauge theories. These ``higher rank'' are particularly intriguing due to the presence quasiparticles with restricted mobility, such as fractons. We investigate universal experimental signatures phases. Most notably, we show that liquids (both quantum and classical) characteristic pinch point singularities in their...

In this paper, we characterize quasicrystalline interacting topological phases of matter i.e., protected by some structure. We show that the elasticity theory quasicrystals, which accounts for both "phonon" and "phason" modes, admits non-trivial quantized terms with far richer structure than their crystalline counterparts. these correspond to distinct also uncover intrinsically phases, have no analogues. For quasicrystals internal $\mathrm{U}(1)$ symmetry, discuss a number interpretations...

In this paper, we investigate periodically driven open quantum systems within the framework of Floquet-Lindblad master equations. Specifically, discuss Lindblad equations in presence a coherent, time-periodic driving and establish their general spectral features. We also clarify notions transient nondecaying solutions from perspective, then prove that any physical system described by equation must have at least one nonequilibrium steady state (NESS), corresponding to an eigenoperator...

The entanglement spectrum (ES) provides a barometer of quantum and encodes physical information beyond that contained in the entropy. In this paper, we explore ES stabilizer codes, which furnish exactly solvable models for plethora gapped phases matter. Studying Hamiltonians presence arbitrary weak local perturbations thus allows us to develop general framework within features topological can be computed contrasted. particular, study harboring fracton order, both type-I type-II, compare...

We discuss the procedure for gauging on-site $\mathbb{Z}_2$ global symmetries of three-dimensional lattice Hamiltonians that permute quasi-particles and provide general arguments demonstrating non-Abelian character resultant gauged theories. then apply this to models several well known fracton phases: two copies X-Cube model, Haah's cubic code, checkerboard model. Where former possess an layer exchange symmetry, latter is generated by Hadamard gate. For each these models, upon gauging, we...

The Lieb-Schultz-Mattis (LSM) theorem and its descendants impose strong constraints on the low-energy behavior of interacting quantum systems. In this paper, we formulate LSM-type for lattice translation invariant systems with generalized U(1) symmetries which have recently appeared in context fracton phases: polynomial shift subsystem symmetries. Starting a generic system conserved dipole moment, examine conditions under it supports symmetric, gapped, nondegenerate ground state, find...

We compute the orbital angular momentum ${L}_{z}$ of an $s$-wave paired superfluid in presence axisymmetric multiply quantized vortex. For vortices with a winding number $|k|>1$, we find that weak-pairing BCS regime, is significantly reduced from its value $\ensuremath{\hbar}Nk/2$ Bose-Einstein condensation (BEC) where $N$ total fermions. This deviation results unpaired fermions ground state, which arise as consequence spectral flow along vortex subgap states. support our analytically and...

The interplay between symmetry and topology is one of the most exciting avenues modern condensed matter research. Here, authors propose a new unified approach for describing low-energy physics two-dimensional spin-singlet superconductors, placing them in class topologically ordered states akin to quantum Hall fluids spin liquids. Starting from microscopic model paired fermions with dynamical electromagnetism (that also confined two spatial dimensions), derive Chern-Simons theories all gapped...

Motivated by experiments on chains of superconducting qubits, we consider the dynamics a classical Klein-Gordon chain coupled to coherent driving and subject dissipation solely at its boundaries. As strength boundary is increased, this minimal model recovers main features dissipative phase transition seen experimentally. Between transmitting nontransmitting regimes either side (which support ballistic diffusive energy transport, respectively), observe additional dynamical interest. These...

Spatial symmetries can enrich the topological classification of interacting quantum matter and endow systems with non-trivial strong invariants (protected by internal symmetries) additional "weak" indices. In this paper, we study edge physics a shift invariant, which is protected either continuous $\text{U}(1)_r$ or discrete $\text{C}_n$ rotation symmetry, along $\text{U}(1)_c$ charge conservation. Specifically, construct an interface between two have same Chern number but are distinguished...

Metal cluster ionization potentials are important characteristics of these "artificial atoms," but extracting quantities from photoabsorption spectra, especially in the presence thermal smearing, remains a big challenge. Here we demonstrate that classic Fowler theory surface photoemission does an excellent job fitting profile shapes neutral In_{n=3-34} clusters [Wucher et al., New J. Phys. 10, 103007 (2008)]. The deduced extrapolate precisely to bulk work function, and internal temperatures...