Environment-assisted quantum transport and mobility edges

Dwiputra, Donny; Zen, Freddy P.

doi:10.1103/physreva.104.022205

Cited by 18 publications

(13 citation statements)

References 62 publications

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“…However, in general the long-range interactions in 1D systems prevent full Anderson localisation [28,29], and recent work has shown that homogeneous long-range coupling [30] or coupling to cavities [31] can significantly alter 1D responses to disorder in ways beyond the scope of this paper. Recent years have also seen broad interest in the transient effects of dephasing on quantum diffusion, such as stochastic resonance, and many-body localisation, especially focussed on the quasiperiodic Aubry-André model [12,[32][33][34][35][36][37], as well as quantum chaotic systems Coloured areas show ± one standard deviation, each point is averaged from 100 configurations of disorder. An ordered ( ) and disordered ( ) point are highlighted, and their eigenspectra shown in the centre and right panels, respectively.…”

Section: Figurementioning

confidence: 99%

“…This fundamental process has very different features depending on the scale on which it acts and the specifics of the system coupling to the environment [6,7]. For over a decade, a lot of work has exposed the mechanisms of environmental noise-assisted quantum transport (ENAQT) [8][9][10][11][12], a phenomenon describing how incoherent processes from interactions with the environment around a system can improve energy transport in quantum systems. This work was heavily motivated by the possible connection between ENAQT and the efficiency of photosynthesis [1,3,[8][9][10][13][14][15], though recent work suggests the relationship between the two may be more nuanced [16][17][18].…”

Section: Introductionmentioning

confidence: 99%

“…These include line broadening which can help to overcome energetic barriers; the breaking up of an 'invariant subspace' of the system Hamiltonian that is inaccessible to extraction operators on a quantum system [10]; and momentum rejuvenation which counteracts the tendency of a fraction of the excitation to get stuck in only sluggishly propagating states [19]. Recent studies of steady state populations have also shown that the occupation of system sites becomes more uniform when transport efficiency is near-optimal [11,12,20], this population uniformisation phenomenon is discussed in appendix D.…”

Section: Introductionmentioning

confidence: 99%

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Localisation determines the optimal noise rate for quantum transport

Coates

Lovett²,

Gauger³

2021

New J. Phys.

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Environmental noise plays a key role in determining the efficiency of transport in quantum systems. However, disorder and localisation alter the impact of such noise on energy transport. To provide a deeper understanding of this relationship we perform a systematic study of the connection between eigenstate localisation and the optimal dephasing rate in 1D chains. The effects of energy gradients and disorder on chains of various lengths are evaluated and we demonstrate how optimal transport efficiency is determined by both size-independent, as well as size-dependent factors. By discussing how size-dependent influences emerge from finite size effects we establish when these effects are suppressed, and show that a simple power law captures the interplay between size-dependent and size-independent responses. Moving beyond phenomenological pure dephasing, we implement a finite temperature Bloch-Redfield model that captures detailed balance. We show that the relationship between localisation and optimal environmental coupling strength continues to apply at intermediate and high temperature but breaks down in the low temperature limit.

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Section: Figurementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Localisation determines the optimal noise rate for quantum transport

Coates

Lovett²,

Gauger³

2021

New J. Phys.

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“…The popular quasi-periodic lattice systems, namely, the Aubry-André-Harper (AAH), its generalised version GAAH model and the Fibonacci model [21,22] have been studied extensively in the context of boundary driven dissipative quantum transport [23][24][25][26][27][28][29]. Further studies have started to emerge to understand the environment induced effects on transport [30][31][32][33][34][35][36][37] in such systems. Very recently, following the local Lindblad master equation formalism, the steady-state transport properties due to dephasing noise were analyzed for AAH and Fibonacci models [34].…”

Section: Introductionmentioning

confidence: 99%

“…This approach was however limited to infinite temperature and weak system-environment coupling limit. Following a similar approach, the effect of dephasing noise on transport was studied in presence of mobility edge [35]. Another recent work [36] focused on understanding thermoelectric transport properties for Fibonacci type model using the first principle Büttiker voltage-temperature probe approach, [38][39][40][41] where it was shown that noise induced processes can lead to a better thermoelectric performance in certain regimes of transport.…”

Section: Introductionmentioning

confidence: 99%

Quantum transport in quasi-periodic lattice systems in presence of Büttiker probes

Saha,

Venkatesh,

Agarwalla

2022

Preprint

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Quasi-periodic lattice systems offer diverse transport properties. In this work, we investigate the environment induced effects on transport properties for quasi-periodic systems, namely the one-dimensional Aubry-André-Harper (AAH) lattice chain and its generalized version (GAAH) by considering the Büttiker probe approach. We first consider voltage probe situation and study the electrical conductance properties in the linear response regime. At zero temperature, we observe enhancement in conductance at all the no-transport regimes, located both inside and outside of the band of the original system, for small probe coupling strength γ with a power-law scaling γ 4 . Whereas, for large probe coupling strengths, the conductance at all Fermi energies is the same and decays as a power-law with scaling 1/γ 4 . This particular scaling survives even in the finitetemperature limit. Interestingly, this scaling result is different from the one recently predicted following the local Lindblad master equation approach. The transport eventually becomes diffusive for all energy ranges and in all regimes of the original model for a sufficiently strong coupling with the probes. We further extend our study and consider voltage-temperature probes to analyze the thermoelectric performance of the chain in terms of the figure of merit. We also demonstrate the validity of two recently obtained bounds on thermoelectric efficiency that are tighter than the seminal Carnot bound and express the same in terms of the Onsager's transport coefficients.

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Unbound States in an Almost Infinite Deep Potential

Liu

Xia

2022

Annalen der Physik

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The behavior of a quantum particle in an almost infinite deep potential is investigated. By means of analytical and numerical methods, it is demonstrated that even if the potential is infinitely deep, the particle's eigenstate can still be unbound, which contradicts the previous belief that an infinite deep potential can only sustain bound states. These findings shed new light on the eigenstate problem of quantum mechanics.

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Environment-assisted quantum transport and mobility edges

Cited by 18 publications

References 62 publications

Localisation determines the optimal noise rate for quantum transport

Localisation determines the optimal noise rate for quantum transport

Quantum transport in quasi-periodic lattice systems in presence of Büttiker probes

Unbound States in an Almost Infinite Deep Potential

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