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Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics

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Page 1: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Ferromagnetism in a few-fermion atom gas

Gareth Conduit

TCM Group, Department of Physics

Page 2: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Condensed matter across the length scales

Few-fermionic atoms Electron gas Alloy design

Page 3: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Condensed matter across the length scales

Few-fermionic atoms Electron gas Alloy design

Page 4: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Ni combustor linerRolls-Royce invention NC13006 (2013)

Mo-Hf forging alloyPatent GB1307533.8 (2013)

Mo-Nb forging alloyPatent GB1307535.3 (2013)

RR1000 grain growthActa Materialia, 61, 3378 (2013)

Concurrent materials design

Ni disc alloyRolls-Royce invention NC12261 (2012)

Discovery algorithmPatent GB1302743.8 (2013)

Page 5: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Homogeneous electron gas

Interaction strength

Paramagnet Ferromagnet

Page 6: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Homogeneous electron gas

Interaction strength

Paramagnet Spiral Ferromagnet

GJ Conduit, AG Green, BD Simons, Phys. Rev. Lett. 103, 200403 (2009)

Page 7: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Homogeneous electron gas

S Lausberg et al. Phys. Rev. Lett. 109, 216402 (2012)

Experiment

Interaction strength

Paramagnet Spiral Ferromagnet

GJ Conduit, AG Green, BD Simons, Phys. Rev. Lett. 103, 200403 (2009)

Page 8: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Few-fermion ferromagnet

6Li atom

Up spin

Down spin

GJ Conduit & PO Bugnion, arXiv:1304.3299

Page 9: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Trapped atoms

F Serwane et al., Science 332, 336 (2011)G Zürn et al., Phys. Rev. Lett. 108, 075303 (2012)

Page 10: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Tunneling probe

Page 11: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Tunneling probe

Page 12: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Tunneling probe

Page 13: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Tunneling probability

StrongWeak

Page 14: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Tunneling probability

StrongWeak

Page 15: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Tunneling probability

StrongWeak

Page 16: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Why probability of ½?

Lose

Lose

Ferro

Ferro

Para

∣⟩

∣⟩+∣⟩

∣⟩-∣⟩

Page 17: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Tunneling probability

StrongWeak

Page 18: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Two-atom scattering

r

V(r)

a

Repulsive

Page 19: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Two-atom scattering

r

V(r)

ar

V(r)

a

Repulsive Attractive

Page 20: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Two-atom scattering

r

V(r)

ar

V(r)

ar

V(r)

a

Repulsive Attractive Repulsive

Page 21: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Two-atom scattering

r

V(r)

ar

V(r)

ar

V(r)

a

Repulsive Attractive Repulsive

Page 22: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Three-atom bound state

StrongWeak

Page 23: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Three-atom bound state

StrongWeak

Page 24: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Three-atom bound state

StrongWeak

Page 25: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Three-atom bound state

StrongWeak

Page 26: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Three-atom bound state

StrongWeak

Page 27: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Three-atom bound state

StrongWeak

Page 28: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Three-atom bound state

StrongWeak

Page 29: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Three-atom bound state

StrongWeak

Page 30: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Three-atom bound state

StrongWeak

Page 31: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Loss affected region

StrongWeak

Page 32: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Time evolution

StrongWeak

Page 33: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Time evolution

StrongWeak

Page 34: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Single atom tunneling

Page 35: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Single atom tunneling

Page 36: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Single atom tunneling

Page 37: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Quantum coherent tunneling

Page 38: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Quantum coherent tunneling

Page 39: Ferromagnetism in a few-fermion atom gasgjc29/Talks/NottinghamTalk2013.pdf · Ferromagnetism in a few-fermion atom gas Gareth Conduit TCM Group, Department of Physics. Condensed matter

Condensed matter across the length scales

Few-fermionic atoms Electron gas Alloy design