Creating and detecting poor man's Majorana bound states in interacting quantum dots

Tsintzis, Athanasios; Souto, Rubén Seoane; Leijnse, Martin

doi:10.1103/physrevb.106.l201404

Cited by 31 publications

(9 citation statements)

References 70 publications

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“…Under certain circumstances, however, such interactions may have a significant impact on the shot noise via corresponding inelastic processes [95] and thus represent a challenge for future models where MBSs are coupled to an external environment. Another possibility is to study the differential shot noise in nonequilibrium setups with poor man's MBSs [96,97] which may arise inside QDs when one fine-tunes parameters of such setups to locate their states as close as possible to their sweet spots.…”

Section: Discussionmentioning

confidence: 99%

Majorana differential shot noise and its universal thermoelectric crossover

Smirnov

2023

Phys. Rev. B

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Nonequilibrium states driven by both electric bias voltages V and temperature differences ∆T (or thermal voltages eVT ≡ kB∆T ) are unique probes of various systems. Whereas average currents I(V, VT ) are traditionally measured in majority of experiments, an essential part of nonequilibrium dynamics, stored particularly in fluctuations, remains largely unexplored. Here we focus on Majorana quantum dot devices, specifically on their differential shot noise ∂S > (V, VT )/∂V , and demonstrate that in contrast to the differential electric or thermoelectric conductance, ∂I(V, VT )/∂V or ∂I(V, VT )/∂VT , it reveals a crossover from thermoelectric to pure thermal nonequilibrium behavior. It is shown that this Majorana crossover in ∂S > (V, VT )/∂V is induced by an interplay of the electric and thermal driving, occurs at an energy scale determined by the Majorana tunneling amplitude, and exhibits a number of universal characteristics which may be accessed in solely noise experiments or in combination with measurements of average currents.

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Section: Discussionmentioning

confidence: 99%

Majorana differential shot noise and its universal thermoelectric crossover

Smirnov

2023

Phys. Rev. B

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“…The middle gate V H is used to tune the electrochemical potential of the hybrid InSb-Al section [45]. This changes the energy of Andreev bound states in the hybrid, which mediate ECT and CAR between the two QDs [46]. As a result, ECT and CAR rates are modulated by V H through their dependence on the ABS energy [14,38].…”

Section: Experiments: Two-quantum-dot Systemmentioning

confidence: 99%

Adversarial Hamiltonian learning of quantum dots in a minimal Kitaev chain

Koch,

van Driel,

Bordin

et al. 2023

Phys. Rev. Applied

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Determining Hamiltonian parameters from noisy experimental measurements is a key task for the control of experimental quantum systems. An interesting experimental platform where precise knowledge of device parameters is useful is the quantum-dot-based Kitaev chain. In these systems, the fine tuning of Hamiltonian parameters is crucial in order to reach the desired regime with stable midgap modes. In this work, we demonstrate an adversarial machine-learning algorithm to determine the parameters of a quantum-dot-based Kitaev chain. We train a convolutional conditional generative adversarial neural network (CCGAN) with simulated differential conductance data and use the model to predict the parameters at which Majorana bound states are predicted to appear. In particular, the CCGAN model facilitates a rapid, numerically efficient exploration of the phase diagram describing the transition between elastic co-tunneling and crossed Andreev reflection regimes. We verify the theoretical predictions of the model by applying it to experimentally measured conductance obtained from a minimal Kitaev chain consisting of two spin-polarized quantum dots coupled by a superconductor-semiconductor hybrid. Our model accurately predicts, with an average success probability of 97%, whether the measurement was taken in the elastic co-tunneling or crossed Andreev reflection-dominated regime. Our work constitutes a stepping stone towards fast, reliable parameter prediction for tuning quantum dot systems into distinct Hamiltonian regimes. Ultimately, our results yield a strategy to support Kitaev-chain tuning that is scalable to longer chains.

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“…Using simple toy models of quantum many-body systems, here, we show that it is indeed possible to extract ground-state critical information contained in the Hamiltonian even after long-time dissipative dynamics when the steady state is not thermal. The advantage of using such simple models is not just limited to analytical investigations but also to recent multidirectional experimental progress and ingenious proposals of realizing these systems using ultracold atomic lattices, quantum simulators, and quantum dots [41][42][43][44][45][46][47][48][49][50][51][52][53][54][55].…”

Section: Introductionmentioning

confidence: 99%

Signatures of quantum phases in a dissipative system

Joshi,

Mondal,

Bandyopadhyay

et al. 2024

J. Phys.: Condens. Matter

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Lindbladian formalism, as tuned to dissipative and open systems, has been all-pervasive to in-terpret non-equilibrium steady states of quantum many-body systems. We study the fate of freefermionic and superconducting phases in a dissipative one-dimensional Kitaev model - where thebath acts both as a source and a sink of fermionic particles with different coupling rates. As afunction of these two couplings, we investigate the steady state, its entanglement content, and itsapproach from varying initial states. Interestingly, we find that the steady state phase diagramretains decipherable signatures of ground state critical physics. We also show that early-time fi-delity is a useful marker to find a subclass of phase transitions in such situations. Moreover, weshow that the survival of critical signatures at late-times, strongly depend on the thermal natureof the steady state. This connection hints at a correspondence between quantum observables andclassical magnetism in the steady state of such systems. Our work uncovers interesting connectionsbetween dissipative quantum many-body systems, thermalization of a classical spin and many-bodyquantum critical phenomena.

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Creating and detecting poor man's Majorana bound states in interacting quantum dots

Cited by 31 publications

References 70 publications

Majorana differential shot noise and its universal thermoelectric crossover

Majorana differential shot noise and its universal thermoelectric crossover

Adversarial Hamiltonian learning of quantum dots in a minimal Kitaev chain

Signatures of quantum phases in a dissipative system

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