Since the charged mode is much faster than neutral modes on quantum Hall edges at large filling factors, edge may remain out of equilibrium in thermal conductance experiments. This sheds light observed imperfect quantization $\ensuremath{\nu}=8/3$ and can increase by two quanta $\ensuremath{\nu}=8/5$. Under certain unlikely but not impossible assumptions, this might also reconcile $\ensuremath{\nu}=5/2$ with only PH-Pfaffian order anti-Pfaffian order.

We investigate theoretically the quantum Rabi model in large-detuning regime. When frequency of cavity field is near one-third atomic transition frequency, we show that there exists a resonant three-photon coupling via intermediate states connected by counter-rotating processes. derive an effective Hamiltonian coupling, which determines magnitude energy splitting and position resonance analytically. In addition, present scheme generation based on adiabatic passage across resonance.

Fractional quantum Hall states at half-integer filling factors have been observed in many systems beyond the $5/2$ and $7/2$ plateaus GaAs wells. This includes bilayer GaAs, several ZnO-based heterostructures, liquids graphene. In all cases, Cooper pairing of composite fermions is believed to explain plateaus. The nature topological order on those are hotly debated. Different orders be present different systems. makes it important understand experimental signatures proposed orders. We review...

Supersymmetry (SUSY) relating bosons and fermions plays an important role in unifying different fundamental interactions particle physics. Since no superpartners of elementary particles have been observed, SUSY, if present, must be broken at low-energy. This makes it to understand how SUSY is realized broken, study their consequences. We show that $\mathcal{N}=(1,0)$ arguably the simplest type, can edge Moore-Read quantum Hall state. Depending on absence or presence reconstruction, both...

Thermal conductance has emerged as a powerful probe of topological order in the quantum Hall effect and beyond. The interpretation experiments crucially depends on ratio sample size equilibration length, which energy exchange among contrapropagating chiral modes becomes significant. We show that at low temperatures length diverges $1/{T}^{2}$ for almost all Abelian non-Abelian orders. A faster $1/{T}^{4}$ divergence is present edges PH-Pfaffian negative-flux Read-Rezayi liquids. address...

The generalized Rabi model (gRM) with both one- and two-photon coupling terms has been successfully implemented in circuit quantum electrodynamics systems. In this paper, we examine theoretically multiphoton resonances the gRM derive their effective Hamiltonians. With different detunings system, show that all three- to six-photon can be achieved by involving two intermediate states. Furthermore, study interplay between resonance chiral transport of photon Fock states a resonator junction...

The black hole information paradox has been hotly debated for the last few decades, without full resolution. This makes it desirable to find analogs of this in simple and experimentally accessible systems, whose resolutions may shed light on long-standing fundamental problem. Here we identify resolve an apparent ``information paradox'' a quantum Hall interface between Halperin-331 Pfaffian states. Information carried by pseudospin degree freedom Abelian 331 quasiparticles gets scrambled when...

The PH-Pfaffian topological order has been proposed as a candidate for the $\nu=5/2$ quantum Hall effect. liquid is known to be ground state in several coupled wire and stripe constructions. No translationally rotationally invariant models with have identified so far. By employing anyon condensation on top of order, allowed an isotropic system, we argue that possible presence rotational translational symmetries.

The nature of the fractional quantum Hall state at quarter filling in a wide well is still under debate. Both one-component non-Abelian and two-component Abelian orders have been proposed to describe system. Interestingly, these candidates received support from different experiments disparate conditions. In this article, we focus on Cooper pairing between composite fermions Halperin-(5,5,3) order. We discuss predict systematically experimental signatures identify them future experiments....

The fractional quantum Hall (FQH) effect at the filling factor $\nu=5/2$ was discovered in GaAs heterostructures more than 35 years ago. Various topological orders have been proposed as possible candidates to describe this FQH state. Some of them possess non-Abelian anyon excitations, an entirely new type quasiparticle with fascinating properties. If observed, anyons could offer fundamental building blocks a computer. Nevertheless, nature state is still under debate. In chapter, we provide...

We consider free fermion systems in arbitrary dimensions and represent the occupation pattern of each eigenstate as a classical binary string. find that Kolmogorov complexity string correctly captures scaling behavior its entanglement entropy (EE). In particular, logarithmically-enhanced area law for EE ground state volume typical highly excited states are reproduced. Since our approach does not require bipartitioning system, it allows us to distinguish atypical eigenstates directly by their...

The theory of composite fermion provides a simple and unified picture to understand vast amount phenomenology in the quantum Hall regime. However it has remained challenging formulate this concept properly within single Landau level, which relevant degrees freedom limit strong magnetic field. Recently low-energy noncommutative field for bosons at Landau-level filling factor $\ensuremath{\nu}=1$ been formulated by Dong Senthil [Z. T. Senthil, Phys. Rev. B 102, 205126 (2020)]. In...

The long-time dynamics of quantum systems, typically, but not always, results in a thermal steady state. microscopic processes that lead to or circumvent this fate are interest, since everyday experience tells us all spatial regions system heat up cool down uniformly. This motivates the question: Under what conditions can one slow completely arrest thermalization locally? Is it possible construct realistic Hamiltonians and initial states such local region is effectively insulated from rest,...

A quantum Hall (QH) interface is different from an ordinary QH edge, as the latter has its location determined by confining potential, while former can be unpinned and behave like a free string. In this paper, we demonstrate difference studying three interfaces formed (i) Laughlin state vacuum, (ii) Pfaffian (iii) anti-Pfaffian states. We find that string-like propagating freely in system lead to very dynamical properties edges. This qualitative gives rise fascinating new physics suggests...

The recent discovery of quantum many-body scar states has revealed the possibility having with low entanglement that violate eigenstate thermalization hypothesis in nonintegrable systems. Such entropy are rare but naturally exist integrable system free fermions. Here, we demonstrate analytically these atypical would be always eliminated when an arbitrary weak interaction is introduced between In particular, show probability a state satisfying sub-volume scaling law decreases double...

The long-time dynamics of quantum systems, typically, but not always, results in a thermal steady state. microscopic processes that lead to or circumvent this fate are interest, since everyday experience tells us all spatial regions system heat up cool down uniformly. This motivates the question: under what conditions can one slow completely arrest thermalization locally? Is it possible construct realistic Hamiltonians and initial states such local region is effectively insulated from rest,...

The interplay between different quantum phases plays an important role in strongly correlated systems, such as high-$T_c$ cuprates, spin and ultracold atoms. In particular, the application of effective field theory model renormalization group analysis suggested that coexistence density wave (DW) superfluid (SF) orders can lead to a supersolid phase bosons. Here we revisit problem by considering weakly coupled wires, where treat intra-wire interactions exactly via bosonization inter-wire...

The interplay between different quantum phases plays an important role in strongly correlated systems such as high-${T}_{c}$ cuprates, spin systems, and ultracold atoms. In particular, the application of effective-field theory renormalization group analysis suggests that coexistence density wave (DW) superfluid (SF) orders can lead to a supersolid phase bosons. Here we revisit problem by considering weakly coupled wires, where treat intrawire interactions exactly via bosonization interwire...