Relativistic Quantum Metrology in Open System Dynamics

Tian, Zehua; Wang, Jieci; Fan, Heng; Jing, Jiliang

doi:10.1038/srep07946

Cited by 50 publications

(51 citation statements)

References 61 publications

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“…For the usual helical surface states the direction of this moment is in the plane and normal to the current [12,13]. Such an accumulation was observed experimentally [29][30][31]. We find that the spin structure depends on the interface.…”

supporting

confidence: 62%

Interface symmetry and spin control in topological-insulator–semiconductor heterostructures

2017

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Heterostructures combining topological and non-topological materials constitute the next frontier in the effort to incorporate topological insulators (TIs) into functional electronic devices. We show that the properties of the interface states appearing at the planar boundary between a topologicallytrivial semiconductor (SE) and a TI are controlled by the symmetry of the interface. In contrast to the well-studied helical Dirac surface states, SE-TI interface states exhibit elliptical contours of constant energy and complex spin textures with broken helicity. We derive a general effective Hamiltonian for SE-TI junctions, and propose experimental signatures such as an out of plane spin accumulation under a transport current and the opening of a spectral gap that depends on the direction of an applied in-plane magnetic field.

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supporting

confidence: 62%

Interface symmetry and spin control in topological-insulator–semiconductor heterostructures

2017

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“…(129)-(130) with the average displacements (131) and (131) We immediately see that for strong magnetic fields, B 1, the average speed computed from the Schrödinger dynamics can surpass the speed of light, c. As expected, this is not the case for the Dirac equation, and even for arbitrarily strong fields B we always have v D < c. Thus, Villamizar and Duzzioni [227] conclude that the quantum speed limit can be used to check the physical consistency of a physical model. Villamizar and Duzzioni 's [227] work has been followed by several further analyses for which we refer the reader to the literature [228][229][230][231] Finally, it is interesting to note that in passing Villamizar and Duzzioni [227] resolved the longstanding debate of Einstein and Bohr (see Sec. 1) by bringing the energy-time uncertainty principle in full agreement with special relativity.…”

Section: Relativistic Systems and Dirac Dynamicsmentioning

confidence: 96%

Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control

Deffner

Campbell

2017

J. Phys. A: Math. Theor.

488

439

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One of the most widely known building blocks of modern physics is Heisenberg's indeterminacy principle. Among the different statements of this fundamental property of the full quantum mechanical nature of physical reality, the uncertainty relation for energy and time has a special place. Its interpretation and its consequences have inspired continued research efforts for almost a century. In its modern formulation, the uncertainty relation is understood as setting a fundamental bound on how fast any quantum system can evolve. In this Topical Review we describe important milestones, such as the Mandelstam-Tamm and the Margolus-Levitin bounds on the quantum speed limit, and summarise recent applications in a variety of current research fields -including quantum information theory, quantum computing, and quantum thermodynamics amongst several others. To bring order and to provide an access point into the many different notions and concepts, we have grouped the various approaches into the minimal time approach and the geometric approach, where the former relies on quantum control theory, and the latter arises from measuring the distinguishability of quantum states. Due to the volume of the literature, this Topical Review can only present a snapshot of the current state-of-the-art and can never be fully comprehensive. Therefore, we highlight but a few works hoping that our selection can serve as a representative starting point for the interested reader.

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“…Let us note that this model has been fruitfully applied in the relativistic scenario recently [43][44][45]58,[69][70][71][72][73]. The total Hamiltonian of the detector-field system can be described as…”

Section: Dynamical Evolution Of a Two-level Detector Interactsmentioning

confidence: 99%

Relativistic motion enhanced quantum estimation of $$\kappa $$ κ -deformation of spacetime

et al. 2018

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We probe the κ-deformation of spacetime using a two-level atom as a detector coupled to a κ-deformed massless scalar field which is invariant under a κ-Poincaré algebra and written in commutative spacetime. To address the quantum bound to the estimability of the deformation parameter κ, we perform measurements on the two-level detector and maximize the value of quantum Fisher information over all possible detector preparations. We prove that the population measurement is the optimal measurement in the estimation of the deformation parameter κ. In particular, we show that the relativistic motion of the detector affects the precision in the estimation of the parameter κ, which can effectively improve this precision comparing to that of the static detector case by many orders of magnitude.

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Relativistic Quantum Metrology in Open System Dynamics

Cited by 50 publications

References 61 publications

Interface symmetry and spin control in topological-insulator–semiconductor heterostructures

Interface symmetry and spin control in topological-insulator–semiconductor heterostructures

Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control

Relativistic motion enhanced quantum estimation of $$\kappa $$ κ -deformation of spacetime

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