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Abstracts
P4.24
Ground state energy for a Lieb-Liniger gas within a multi-rods
structure: Variational Monte Carlo vs Mean-Field calculations
O.A. Rodr´ıguez(1,2), M.A. Sol´ıs(2)
1) Universidad Nacional Aut´onoma de M´exico, Posgrado en Ciencias F´ısicas
2) Universidad Nacional Aut´onoma de M´exico, Instituto de F´ısica
We use the Variational Monte Carlo (VMC) method to calculate the groun state
energy of an interacting Bose gas constrained by an one-dimensional periodic
multi-rods structure created by applying an external Kronig-Penney potential.
Our variational results are compared with those we previously obtained using the
Mean-Field approximation [1] where we analytically solve the Gross-Pitaevskii
equation. In the limit of zero external potential, we recover the well-known
Lieb-Liniger gas, which becomes the Tonks gas for strong interactions. In this
case we compare our variational results with those obtained originally by Lieb
and Liniger [2], as well as with those calculated by means of the Diffusion Monte
Carlo (DMC) method [3]. Only in the region of high density and weak interaction,
Mean-Field results are equal to DMC results and better than the variational
ones.
[1] O.A. Rodr´ıguez and M.A. Sol´ıs, “Ground state of a Lieb-Liniger gas within
multi-rods solving analytically the Gross-Pitaevskii equation”, work in process.
[2] E.H. Lieb and W. Liniger, PR
130
, 1605 (1963).
[3] G.E. Astrakharchik and S. Giorgini, PRA
68
, 031602 (2003).
We thanks partial support from grants CONACyT 221030 and PAPIIT IN107616.
P4.25
Quantum-limited heat conduction over macroscopic distances
Tan, Kuan Yen(1) Partanen, Matti(1) Govenius, Joonas(1) Lake, Russell E.(1)
M¨akel¨a, Miika K.(1) Tanttu, Tuomo(1) M¨ott¨onen, Mikko(1).
1) QCD Labs, COMP Centre of Excellence, Department of Applied Physics,
Aalto University.
We present experimental observations of quantum-limited heat conduction over
macroscopic distances extending to a metre. We achieved this improvement of
four orders of magnitude in the distance by utilizing microwave photons travelling
in superconducting transmission lines. This suggests that quantum-limited heat
conduction has no fundamental distance cutoff.
This work establishes the integration of normal-metal components into the
framework of circuit quantum electrodynamics, which provides a basis for the
superconducting quantum computer. In particular, our results facilitate remote
cooling of nanoelectronic devices using faraway in situ-tunable heat sinks.
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