arXiv subjects

Huanan Li

Publications and source records attributed to Huanan Li.

At least 37 records · Page 2Linked to original sources

arXiv2018

Floquet Scattering Theory based on Effective Hamiltonians of Driven Systems

The design of time-independent effective Hamiltonians that describe periodically modulated systems, provides a promising approach to realize new forms of matter. This, so-called, Floquet engineering approach is currently limited to the description of wavepacket dynamics. Here, we utilize the notion of effective Hamiltonians and develop a Floquet engineering scattering formalism that relies on a systematic high-frequency expansion of the scattering matrix. The method unveils the critical role of micromotion. An application to the case of non-reciprocal transport is presented.

cond-mat.mes-hall↗

arXiv2018

Floquet Perfect Absorbers based on Periodically Driven Targets

We introduce the concept of multichannel Floquet Perfect Absorbers (FPAs) which are periodically modulated lossy interferometric traps that completely absorb incident monochromatic waves. The proposed FPA protocols utilize a Floquet engineering approach which inflicts a variety of emerging phenomena and features: reconfigurability of perfect absorption (PA) for a broad range of frequencies of the incident wave; PA for infinitesimal local losses, and PA via critical coupling with high-Q modes by inducing back-reflection dynamical mirrors.

physics.optics↗

arXiv2018

Driving-induced metamorphosis of transport in arrays of coupled resonators

We propose a new driving scheme, when different parts of a system are driven with different, generally incommensurate, frequencies. Such driving provides a flexible handle to control various properties of the system and to obtain new types of effective (static) Hamiltonians with arbitrary static on-site potential, be it deterministic or random. This allows us to obtain reconfigurable changes in transport, from ballistic to localized (including sub- and super-diffusion), depending on the driving protocol. The versatile reconfigurability extends also to scattering from (locally) driven extended targets. We demonstrate our scheme using, an analytically solvable example, of an one-dimensional tight-binding chain with appropriately driven couplings between nearby sites.

physics.optics↗

arXiv2018

Towards a Floquet-Network Theory of Non-Reciprocal Transport

We develop a theoretical framework that lays out the fundamental rules under which a periodic (Floquet) driving scheme can induce non-reciprocal transport. Our approach utilizes an extended Hilbert space where a Floquet network with an extra (frequency) dimension naturally arises. The properties of this network (its on-site potential and the intersite couplings) are in one-to-one correspondence with the initial driving scheme. Its proper design allows for a control of the multipath scattering processes and the associated interferences. We harness this degree of freedom to realize driving schemes with narrow or broad-band non-reciprocal transport.

physics.optics↗

arXiv2017

Statistical Design of Chaotic Waveforms with Enhanced Targeting Capabilities

We develop a statistical theory of waveform shaping of incident waves that aim to efficiently deliver energy at weakly lossy targets which are embedded inside chaotic enclosures. Our approach utilizes the universal features of chaotic scattering -- thus minimizing the use of information related to the exact characteristics of the chaotic enclosure. The proposed theory applies equally well to systems with and without time-reversal symmetry.

cond-mat.dis-nn↗

arXiv2017

Floquet Protocols of Adiabatic State-Flips and Re-Allocation of Exceptional Points

We introduce the notion of adiabatic state-flip of a Floquet Hamiltonian associated with a non-Hermitian system that it is subjected to two driving schemes with clear separation of time scales. The fast (Floquet) modulation scheme is utilized to re-allocate the exceptional points in the parameter space of the system and re-define the topological features of an adiabatic cyclic modulation associated with the slow driving scheme. Such topological re-organization can be used in order to control the adiabatic transport between two eigenmodes of the Floquet Hamiltonian. The proposed scheme provides a degree of reconfigurability of adiabatic state transfer which can find applications in system control in photonics and microwave domains.

physics.optics↗

arXiv2017

Frozen Mode Regime in Finite Periodic Structures

Periodic structures with Bloch dispersion relation supporting a stationary inflection point (SIP) can display a unique scattering feature, the frozen mode regime (FMR). The FMR is much more robust than common cavity resonances; it is much less sensitive to the boundary conditions, structural imperfections, and losses. Using perturbation theory, we analyze the FMR in the realistic case of a finite fragment of a periodic structure. We show that in close proximity of SIP frequency, the character of the FMR is qualitatively different from the known case of a semi-infinite structure.

physics.optics↗

arXiv2017

Random Matrix Theory Approach to Chaotic Coherent Perfect Absorbers

We employ Random Matrix Theory in order to investigate coherent perfect absorption (CPA) in lossy systems with complex internal dynamics. The loss strength $γ_{\rm CPA}$ and energy $E_{\rm CPA}$, for which a CPA occurs are expressed in terms of the eigenmodes of the isolated cavity -- thus carrying over the information about the chaotic nature of the target -- and their coupling to a finite number of scattering channels. Our results are tested against numerical calculations using complex networks of resonators and chaotic graphs as CPA cavities.

cond-mat.dis-nn↗

arXiv2017

Experimental realization of Floquet PT-symmetric systems

We provide an experimental framework where periodically driven PT-symmetric systems can be investigated. The set-up, consisting of two UHF oscillators coupled by a time-dependent capacitance, demonstrates a cascade of PT-symmetric broken domains bounded by exceptional point degeneracies. These domains are analyzed and understood using an equivalent Floquet frequency lattice with local PT-symmetry. Management of these PT-phase transition domains is achieved through the amplitude and frequency of the drive.

physics.class-ph↗

arXiv2017

Giant Non-reciprocity Near Exceptional Point Degeneracies

We show that gyrotropic structures with balanced gain and loss that respect anti-linear symmetries exhibit a giant non-reciprocity at the so-called exact phase where the eigenfrequencies of the isolated non-Hermitian set-up are real. The effect occurs in a parameter domain near an exceptional point (EP) degeneracy, where mode-orthogonality collapses. The theoretical predictions are confirmed numerically in the microwave domain, where a non-reciprocal transport above 90dB is demonstrated, and are further verified using lump-circuitry modeling. The analysis allows us to speculate the universal nature of the phenomenon for any wave system where EP and gyrotropy can co-exist.

physics.class-ph↗

arXiv2016

Half-period Aharonov-Bohm oscillations in disordered rotating optical ring cavities

There exists an analogy between Maxwell equations in a rotating frame and Schrödinger equation for a charged particle in the presence of a magnetic field. We exploit this analogy to point out that electromagnetic phenomena in the rotating frame, under appropriate conditions, can exhibit periodicity with respect to the angular velocity of rotation. In particular, in disordered ring cavities one finds the optical analog of the Al'tshuler-Aronov-Spivak effect well known in mesoscopic physics of disordered metals.

physics.optics↗

arXiv2016

Low-Temperature Linear Thermal Rectifiers Based on Coriolis forces

We demonstrate that a three-terminal harmonic symmetric chain in the presence of a Coriolis force, produced by a rotating platform which is used to place the chain, can produce thermal rectification. The direction of heat flow is reconfigurable and controlled by the angular velocity $Ω$ of the rotating platform. A simple three terminal triangular lattice is used to demonstrate the proposed principle.

cond-mat.mes-hall↗

arXiv2015

Interference of sound waves in a moving fluid

We investigate sound propagation in a moving fluid confined in a randomly corrugated tube. For weak randomness and small fluid velocities $v^{(0)}$, the localization length $ξ$ shows extreme sensitivity to the variation of $v^{(0)}$. In the opposite limit of large fluid velocities, $ξ$ acquires a constant value which is independent of the frequency of the incident sound wave, the degree of randomness and $v^{(0)}$ itself. Finally, we find that the standard deviation $σ_{\ln T}$ of the logarithm of transmittance $\ln(T)$ is a universal function of the ensemble average $\langle \ln T\rangle $, which is not affected by the fluid velocity.

cond-mat.dis-nn↗

arXiv2014

Thermal Transport in Phononic Cayley Tree Networks

We analytically investigate the heat current $I$ and its thermal fluctuations $Δ$ in a branching network without loops (Cayley tree). The network consists of two type of harmonic masses: vertex masses $M$ placed at the branching points where phononic scattering occurs and masses $m$ at the bonds between branching points where phonon propagation take place. The network is coupled to thermal reservoirs consisting of one-dimensional harmonic chains of coupled masses $m$. Due to impedance missmatching phenomena, both ${\cal I}$ and $Δ$, are non-monotonic functions of the mass ratio $μ=M/m$. In particular, there are cases where they are strictly zero below some critical value $μ^*$.

cond-mat.stat-mech↗

arXiv2014

A Concept of Linear Thermal Circulator Based on Coriolis forces

We show that the presence of a Coriolis force in a rotating linear lattice imposes a non-reciprocal propagation of the phononic heat carriers. Using this effect we propose the concept of Coriolis linear thermal circulator which can control the circulation of a heat current. A simple model of three coupled harmonic masses on a rotating platform allow us to demonstrate giant circulating rectification effects for moderate values of the angular velocities of the platform.

cond-mat.stat-mech↗

arXiv2014

Exchange fluctuation theorem for heat transport between multi-terminal harmonic systems

We study full counting statistics for transferred heat and entropy production between multi-terminal systems in absence of a finite junction. The systems are modelled as collections of coupled harmonic oscillators which are kept at different equilibrium temperatures and are connected via arbitrary time dependent couplings. Following consistent quantum framework and two-time measurement concept we obtain analytical expressions for the generalized cumulant generating function. We discuss transient and steady-state fluctuation theorems for the transferred quantities. We also address the effect of coupling strength on the exchange fluctuation theorem.

cond-mat.stat-mech↗

arXiv2013

Cumulants of heat transfer across nonlinear quantum systems

We consider thermal conduction across a general nonlinear phononic junction. Based on two-time observation protocol and the field theoretical/algebraic method, the cumulants of the heat transferred in both transient and steady-state regimes are studied on an equal footing, and practical formulae for the calculation of the cumulant generating function of heat transfer are obtained. As an application, the developed general formalism is used to study anharmonic effects on fluctuation of steady-state heat transfer across a single-site junction with a quartic nonlinear on-site pinning potential. An explicit nonlinear modification to cumulant generating function exact up to the first order is given, in which Gallavotti-Cohen fluctuation symmetry is verified. Numerically a self-consistent procedure is introduced, which works well for strong nonlinearity.

cond-mat.stat-mech↗

arXiv2013

Work distribution under continuous quantum histories

We present a general scheme to obtain work distribution in closed systems under continuous quantum histories of corresponding "power" operator. The scheme is tested by analytically calculating the quantum work distribution for a prototype model of a center-shifted one-dimensional quantum harmonic oscillator. Furthermore, its relationship to the path integral formalism with the Wick rotation is immediately noticed. We find that, based on the continuous measurement, generally Jarzynski equality in quantum regime is not valid, though it is recovered in high-temperature limit. Also we briefly explore the extension to open systems, in which the work done and heat transfer can be calculated in the same set of quantum histories. Our results for this model can be directly verified by single-molecule force spectroscopy.

cond-mat.stat-mech↗