Energy transport in trapped ion chains

Ramm, Michael; Pruttivarasin, Thaned; Häffner, Hartmut

doi:10.1088/1367-2630/16/6/063062

Cited by 88 publications

(79 citation statements)

References 22 publications

(28 reference statements)

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“…Most rigorous theoretical results have been obtained for exactly solvable quasi-free models while systems with non-linearities are typically exceedingly difficult to treat. Equally, the controlled generation of non-linear physics in mesoscopic ion crystals is non-trivial and much recent progress has concerned harmonic models of complex networks and trapped-ion chains [22][23][24]. The richest phenomenology however can be expected in nonintegrable models [25] which mandates the development of both theoretical and experimental methods for their examination.…”

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confidence: 99%

“…Numerical experiments.-We consider a chain composed of N ions and analyze the response of the local temperature and the total heat flux to the phase transition from a quasi-linear to the planar zigzag spatial configuration as the transversal frequency of the trap is lowered. We consider a chain of 24 Mg + ions, with N = 30, and fix an axial frequency of the trap to ν = 2π × 50 kHz. We study the dynamics for different transversal frequencies ν t = αν.…”

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confidence: 99%

“…Then the reservoir lasers that act on the selected ions are switched on instantaneously. To determine the friction and the diffusion coefficients that characterize the interaction of the 24 Mg + ions with the laser beams, we have considered the Doppler cooling expressions (4) applied to the atomic transition 3s 2 S 1/2 −→ 3p 2 P 1/2 with frequency ω 0 = 2π × 1069 THz [29] and an excited state natural linewidth Γ = 2π × 41.296 MHz [30]. Given these values, the interaction of a laser beam with an ion is a function of the normalized intensity (I µ,n /I 0 ) and the detuning δ µ,n of the laser beams.…”

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confidence: 99%

“…, N − 3. If local addressing of individual ions is not available, the use of 25 Mg + ions at the opposite ends of the chain that is otherwise composed of 24 Mg + can allow for highly localized heat baths by means of frequency selection. 25 Mg + ions that are not part of the zigzag structure will not affect the essential features of the structural phase transition.…”

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Tuning heat transport in trapped-ion chains across a structural phase transition

et al. 2014

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We explore heat transport across an ion Coulomb crystal beyond the harmonic regime by tuning it across the structural phase transition between the linear and zigzag configurations. This demonstrates that the control of the spatial ion distribution by varying the trapping frequencies renders ion Coulomb crystals an ideal test-bed to study heat transport properties in finite open system of tunable non-linearities. 64.60.Ht, 05.70.Fh, 37.10.Ty Ultracold ion Coulomb crystals represent one of the most promising platforms for the simulation of many-body physics thanks to the high degree of spatial and temporal control of mesoscopic ion crystals they afford us with [1][2][3]. Recent years have seen a shift away from the study of ground and thermal state properties, towards the exploration of the potential role of ion traps as a test-bed for models of nonequilibrium statistical mechanics.In this context it is important to recognize that in addition to the electronic spin degrees of freedom trapped ions also possess motional degrees of freedom that can exhibit highly non-trivial static and dynamical properties including classical and quantum phase transitions. Indeed, ion Coulomb crystals confined in ion traps may support a wide variety of phases including a linear chain and a doubly-degenerate zigzag phase, extending further to increasingly complex configurations in two and three spatial dimensions [4][5][6]. The associated structural phase transitions between those configurations are generally of first order, with the exception of the linear-to-zigzag phase transition which is known to be of second order [7][8][9]. As a symmetry breaking scenario, it provides a natural testing ground for universal dynamics of phase transitions and topological defect formation [9][10][11][12], recently explored in the laboratory [13][14][15][16].Another fundamental setting in non-equilibrium statistical mechanics considers the thermal transport in low-dimensional systems, which exhibits a rich variety of anomalous features, including the breakdown of Fourier's law of heat conduction, instances in which sub-diffusive and super-diffusive behavior can be observed [17][18][19], as well as the divergence of the thermal conductivity with the system size [20,21]. Most rigorous theoretical results have been obtained for exactly solvable quasi-free models while systems with non-linearities are typically exceedingly difficult to treat. Equally, the controlled generation of non-linear physics in mesoscopic ion crystals is non-trivial and much recent progress has concerned harmonic models of complex networks and trapped-ion chains [22][23][24]. The richest phenomenology however can be expected in nonintegrable models [25] which mandates the development of both theoretical and experimental methods for their examination.In this Letter, we advance further the case for trapped ions as a model system for the examination of challenging problems in mesoscopic physics by considering continuously driven ion chains between two thermal reservoirs as a plat...

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Tuning heat transport in trapped-ion chains across a structural phase transition

et al. 2014

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“…This scenario has been studied both theoretically and experimentally for various kinds of physical realizations including spin systems, photonic lattices, ions, metals, semiconductors and Josephson junctions arrays [7,8]. Experiments with ion traps promise to be an ideal set-up to simulate boundary driven systems [9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Geometry of system-bath coupling and gauge fields in bosonic ladders: Manipulating currents and driving phase transitions

Guo¹,

Poletti²

2016

Phys. Rev. A

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Quantum systems in contact with an environment display a rich physics emerging from the interplay between dissipative and Hamiltonian terms. Here we focus on the role of the geometry of the coupling between the system and the baths. In the specific we consider a dissipative boundary driven ladder in presence of a gauge field which can be implemented with ion microtraps arrays. We show that, depending on the geometry, the currents imposed by the baths can be strongly affected by the gauge field resulting in non-equilibrium phase transitions. In different phases both the magnitude of the current and its spatial distribution are significantly different. These findings allow for novel strategies to manipulate and control transport properties in quantum systems.

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Prethermalization and Nonreciprocal Phonon Transport in a Levitated Optomechanical Array

Liu

Yin

2020

Adv Quantum Tech

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Recent advances in levitated optomechanics have brought new opportunities for the study of macroscopic quantum mechanics and precision measurement. Previous studies have mainly focused on the single levitated nanoparticle, the systems of multiple levitated nanoparticles were rarely involved. Here an array of optically levitated nanospheres in vacuum is considered and nontrivial phonon transport in this system is investigated. The levitated nanospheres are coupled by optical binding. Key parameters of this system, such as the interaction range, trapping frequencies, and mechanical dissipation, are highly tunable. Due to these advantages, counter‐intuitive phenomena such as prethermalization and nonreciprocal phonon transport can be achieved by tuning the spacing between neighboring spheres, the mechanical dissipation, and the trapping frequency of each sphere. The system provides a great platform to investigate novel phonon transport and thermal energy transfer.

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Energy transport in trapped ion chains

Cited by 88 publications

References 22 publications

Tuning heat transport in trapped-ion chains across a structural phase transition

Tuning heat transport in trapped-ion chains across a structural phase transition

Geometry of system-bath coupling and gauge fields in bosonic ladders: Manipulating currents and driving phase transitions

Prethermalization and Nonreciprocal Phonon Transport in a Levitated Optomechanical Array

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