MADMAX: introduction and status Chang Lee on behalf of the MADMAX - - PowerPoint PPT Presentation

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MADMAX: introduction and status Chang Lee on behalf of the MADMAX - - PowerPoint PPT Presentation

MADMAX: introduction and status Chang Lee on behalf of the MADMAX collaboration MPI for Physics 3rd Workshop on Microwave cavities and detectors for Axion Research Aug 24th, Livermore, CA, USA 1 MADMAX : Introduction and status C. Lee


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SLIDE 1

MADMAX: introduction and status

Chang Lee on behalf of the MADMAX collaboration MPI for Physics 3rd Workshop on Microwave cavities and detectors for Axion Research Aug 24th, Livermore, CA, USA

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SLIDE 2

MADMAX: Introduction and status

  • C. Lee

3rd Workshop on Microwave cavities and detectors for Axion Research

Post-inflation axion

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Our Universe:

Our Universe

PQ symmetry breaking after inflation

ma ~ 100 μeV

ma < 10 meV

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SLIDE 3

MADMAX: Introduction and status

  • C. Lee

3rd Workshop on Microwave cavities and detectors for Axion Research

High-mass challenge

  • 40—400μeV (10—100 GHz): 


Challenging for traditional resonant cavity 
 due to smaller volume, lower Q

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preferred by 
 post-inflation scenarios

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SLIDE 4

MADMAX: Introduction and status

  • C. Lee

3rd Workshop on Microwave cavities and detectors for Axion Research

  • Inverse-Primakoff in matter
  • Discontinuity of ε or Be

generates propagating EM field.

Axion signal

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Ea = − gaγBe ε a

E∥,1 = E∥,2 H∥,1 = H∥,2

g H1 g E1 E1 a k1 Region 1 e1 = 4

Be

Region 2 e2 = 1 k2 g E2 E2 a

Be

x y z g H2

  • A. J. Millar et al JCAP01(2017)061

Ea

2

Ea

1

1

2

Be

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SLIDE 5

MADMAX: Introduction and status

  • C. Lee

3rd Workshop on Microwave cavities and detectors for Axion Research

signal power

  • Simplest: a metallic mirror (ε = ∞)



 
 
 ~12 photons / day / m2 (@ 25 GHz)

  • Mirror + dielectric:


Leaky resonator,
 boost factor: 


  • Add more dielectric disks…

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E0 = 1.3 × 10−12 [V/m] × ( Be 10T)

Q ∝ ε

β = E/E0

= λ 4n

n = 5 β ~10 standing wave propagating wave

P ∝ E2 ∝ β2

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SLIDE 6

MADMAX: Introduction and status

  • C. Lee

3rd Workshop on Microwave cavities and detectors for Axion Research

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Mirror Dielectric Disks Receiver

Be

  • more sources +


coherent interferences

  • Boost

β2 ν

more N!

Dielectric haloscope

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SLIDE 7

MADMAX: Introduction and status

  • C. Lee

3rd Workshop on Microwave cavities and detectors for Axion Research

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Boost

  • β2 > 60,000 possible 


with ~80 disks.


  • Disk spacings tune β.
  • Broad band for

coverage

  • higher β for

confirmation

80 discs

LnAlO3 50 MHz

Δν ν = 2 × 10−3

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SLIDE 8

MADMAX: Introduction and status

  • C. Lee

3rd Workshop on Microwave cavities and detectors for Axion Research

Scan strategy

  • Area Law: 


Psig x Δν is independent

  • f disk spacings.
  • Narrower peak leads

to faster scan.

  • In practice, 


ttot_adj ≈ ttot_scan.

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24.8 25.0 25.2 25.4 25.6 20 40 60 80 100 120 140

tscan Δν = ( S N )

2

( kBTsys Psig )

2

Psig ∝ B2

0, β2, n, A, N, 1

Δν

same area

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SLIDE 9

MADMAX: Introduction and status

  • C. Lee

3rd Workshop on Microwave cavities and detectors for Axion Research

collaboration

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MAgnetized Disk-and-Mirror Axion eXperiment

DESY, Univ. of Hamburg, CEA-IRFU, MPI for Radioastronomy, 
 RWTH Aachen, Univ. of Zaragoza, MPI for Physics

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SLIDE 10

MADMAX: Introduction and status

  • C. Lee

3rd Workshop on Microwave cavities and detectors for Axion Research

Instrument

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4K mirror

Cover the QCD axion @ 10—100 GHz

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SLIDE 11

MADMAX: Introduction and status

  • C. Lee

3rd Workshop on Microwave cavities and detectors for Axion Research

Simulation

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  • Maxwell-Axion

equation solved by analytic, FEM, ray tracing, and other methods.

  • 1D calculations

confirmed.

  • Latest topics:


3D effects, boundary loss, diffraction

dielectric
 disk

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SLIDE 12

MADMAX: Introduction and status

  • C. Lee

3rd Workshop on Microwave cavities and detectors for Axion Research

Boost measurement

  • Boost factor is indirectly

confirmed by the reflectivity and group delay measurements.

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  • 0.5

0.5 1 1.5 2 2.5 3 3.5 4 4.5 0.05 0.1 0.15 0.2 0.25 0.3 14 16 18 20 22 24

Group delay [ns] Reflectivity Frequency [GHz] Reflectivity Measurement Reflectivity Simulation Group Delay Measured Group Delay Simulated

Boost Factor Reflectivity Group Delay (scaled)

80 discs

1 0.5

5 disks

measurement
 by S. Knirck & J. Egge

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SLIDE 13

MADMAX: Introduction and status

  • C. Lee

3rd Workshop on Microwave cavities and detectors for Axion Research

receiver chain

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FFT

(signal generator)

  • 10-23 W detected in a week
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SLIDE 14

MADMAX: Introduction and status

  • C. Lee

3rd Workshop on Microwave cavities and detectors for Axion Research

System temperature

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  • Thermal emissivity of the

internal parts to be measured.
 goal: ΔT < 0.5 K

  • Bottleneck: ~5 K noise

temperature from HEMT

  • Quantum noise: 


~0.48K @ 20 GHz

  • Latest options 


(JPA, TWPA, …) to be considered

tscan Δν ∝ T2

sys, Tsys = Tbg + Tamp

< 4K 5~6K

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SLIDE 15

MADMAX: Introduction and status

  • C. Lee

3rd Workshop on Microwave cavities and detectors for Axion Research

Mechanical design

  • Baseline design by 

  • M. Matysek & D. Kittlinger
  • 80 disks at cryogenic temp.
  • Each moves 1.5—30mm w/


< 60μm precision for β ~1000.

  • Piezo motor for moving disks
  • test @ cryogenic 


+ high magnetic field

  • Hysteresis, accuracy

measurement at varying loads

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image by M. Matysek

μm

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SLIDE 16

MADMAX: Introduction and status

  • C. Lee

3rd Workshop on Microwave cavities and detectors for Axion Research

Dielectric study

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single
 crystal

dielectrics ε = n2 tanδ Al2O3 10 10-5 LaAlO3 24 3 x 10-5 TiO2 100 3 x 10-5

1 Sapphire + mirror for 1 mirror + 1 disk setup at resonance

βmax = 2n − 1 n

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SLIDE 17

MADMAX: Introduction and status

  • C. Lee

3rd Workshop on Microwave cavities and detectors for Axion Research

Magnets

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  • Prototype magnets for R&D (2~3 years)
  • 3-4 T, ~400mm bore
  • Used magnets at Saclay under survey.
  • Final setup (> 5 years)
  • 10T dipole, B2A: ~100 T2m2, 


~400 MJ stored in 2m x 1m2

  • Two independent design studies 


by CEA Saclay & Bilfinger Noell GmbH

Noell Bilfinger CEA Saclay

Preliminary

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SLIDE 18

MADMAX: Introduction and status

  • C. Lee

3rd Workshop on Microwave cavities and detectors for Axion Research

Site & infrastructure

  • DESY offered 


HERA north hall (H1)

  • Large supply of LHe

for magnets

  • Support for magnets’

weight (~150 tons)

18 image from http://h1.desy.de

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SLIDE 19

MADMAX: Introduction and status

  • C. Lee

3rd Workshop on Microwave cavities and detectors for Axion Research

Prototype

  • Feasibility test & First scientific data
  • starts in ~3 yrs

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Preliminary design 20 x Φ30 cm disks Mirror + motors 3~4 T

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SLIDE 20

MADMAX: Introduction and status

  • C. Lee

3rd Workshop on Microwave cavities and detectors for Axion Research

Future perspective

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Prototype Full scale: 80 x 1m2 disks,
 10T magnet in 202x?

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SLIDE 21

MADMAX: Introduction and status

  • C. Lee

3rd Workshop on Microwave cavities and detectors for Axion Research

Summary

  • 40—400 μeV is an

interesting target for post- inflation QCD axion search.

  • Dielectric haloscope is a

promising technique.

  • MADMAX is developing,

aiming to cover the parameter space.

  • PRL 118 091801


JCAP01 (2017) 061
 MADMAX white paper

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SLIDE 22

MADMAX: Introduction and status

  • C. Lee

3rd Workshop on Microwave cavities and detectors for Axion Research

Back-up slides

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SLIDE 23

MADMAX: Introduction and status

  • C. Lee

3rd Workshop on Microwave cavities and detectors for Axion Research

Boost

  • Disks + mirror boosts signal by

β = E / E0

  • Transparent mode: 


δ = n x d x ν = π, 3π, 5π… 
 constructive interference.

  • Resonant mode: 


δ = π/2, 3π/2, …
 disks + mirror forms a leaky resonator.

  • Combined boost from both

contributions.

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mirror disk

  • A. J. Millar et al JCAP01(2017)061
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SLIDE 24

MADMAX: Introduction and status

  • C. Lee

3rd Workshop on Microwave cavities and detectors for Axion Research

Transfer matrix

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  • Transfer matrix formalism w/ boundary conditions
  • A. J. Millar et al JCAP01(2017)061

E∥,1 = E∥,2 H∥,1 = H∥,2

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SLIDE 25

MADMAX: Introduction and status

  • C. Lee

3rd Workshop on Microwave cavities and detectors for Axion Research

list of show-stoppers

  • Unexpected losses
  • High tanδ, tilt, 3D loss,

diffraction

  • Components incompatible with

high B field

  • Mechanical precision too difficult.

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Incident Wave Reflected / Transmitted Wave

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SLIDE 26

MADMAX: Introduction and status

  • C. Lee

3rd Workshop on Microwave cavities and detectors for Axion Research

Dielectric width

  • For a set of dielectric disk with width d, how wide

frequency can we cover?

  • 1mm 15—30GHz
  • 3mm 5—15GHz (LaAlO3)

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SLIDE 27

MADMAX: Introduction and status

  • C. Lee

3rd Workshop on Microwave cavities and detectors for Axion Research

Fine-tuning search

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