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SUMMARY:Vortices in two-dimensional condensates: towards a novel platform 
 for quantum technologies
DTSTART:20230227T153000Z
DTEND:20230227T170000Z
DTSTAMP:20260801T060140Z
UID:44895fe6-a4d8-47c0-9902-cc5a3090c572
SEQUENCE:1
CREATED:20230224T144221Z
DESCRIPTION: Abstract: In this thesis\, we consider the implementation of 
 a quantum computer in systems of BoseEinstein condensates\, quantum vortic
 es and impurities as a roadmap to the investigation of the fundamental phy
 sics of these systems. We consider questions of structure\, scalability\, 
 dynamical stability\, robustness against decoherence/perturbations\, amena
 bility to external control and availability of quantum resources\, which a
 re necessary elements to encode and perform error-tolerant quantum informa
 tion processing. BECs with vortices are a good platform to explore these q
 uestions\, since it is well known that vortices in this superfluid are dyn
 amically stable\, topologically robust\, stationary configurations that ca
 n be created in large numbers to form Abrikosov lattices. Their robustness
 \, structure and scalability suggests the realization of qubits by making 
 impurities occupy the vortex core. Thus\, we began by characterizing these
  bound states to establish a good basis on which to encode a qubit. The ne
 xt step was to characterize the excitations of the vortex-BEC. Motivated b
 y questions of robustness\, we introduced a measure that characterizes the
 se excitations with respect to their interactions with any impurity. We fo
 und that some characteristic excitation modes of this system have an excep
 tional capacity to interact with impurities\, which lead us to suggest a n
 ovel mechanism of quantum-level control of impurities. With this work\, we
  have also established that the low-energy excitations of the vortex-BEC h
 ave an anomalous dispersion. We then studied the interactions between the 
 two parts of the system\, and found that the resulting collective excitati
 ons obey a deformed quantum statistics\, known as para-Bose statistics. We
  characterized geometrically the single-body state of these excitations\, 
 known to be non-classical\, and found a non-trivial geometric phase. In tu
 rn\, the many-body states indicate that the excitations are in a condensed
  state. We attempt to characterize this condensate and discuss its implica
 tions towards this system as a quantum platform. 
LAST-MODIFIED:20230224T144221Z
LOCATION:Online
URL:http://df.vps.tecnico.ulisboa.pt/pt/eventos/vortices-in-two-dimensiona
 l-condensates-towards-a-novel-platform-for-quantum-technologies/
X-ALT-DESC;FMTTYPE=text/html:<p data-block-key="r5awh"><b> Abstract:</b></
 p><p data-block-key="2rdsh"> In this thesis\, we consider the implementati
 on of a quantum computer in systems of BoseEinstein condensates\, quantum 
 vortices and impurities as a roadmap to the investigation of the fundament
 al physics of these systems. We consider questions of structure\, scalabil
 ity\, dynamical stability\, robustness against decoherence/perturbations\,
  amenability to external control and availability of quantum resources\, w
 hich are necessary elements to encode and perform error-tolerant quantum i
 nformation processing. BECs with vortices are a good platform to explore t
 hese questions\, since it is well known that vortices in this superfluid a
 re dynamically stable\, topologically robust\, stationary configurations t
 hat can be created in large numbers to form Abrikosov lattices. <br/><br/>
 Their robustness\, structure and scalability suggests the realization of q
 ubits by making impurities occupy the vortex core. Thus\, we began by char
 acterizing these bound states to establish a good basis on which to encode
  a qubit. The next step was to characterize the excitations of the vortex-
 BEC. Motivated by questions of robustness\, we introduced a measure that c
 haracterizes these excitations with respect to their interactions with any
  impurity. <br/><br/>We found that some characteristic excitation modes of
  this system have an exceptional capacity to interact with impurities\, wh
 ich lead us to suggest a novel mechanism of quantum-level control of impur
 ities. With this work\, we have also established that the low-energy excit
 ations of the vortex-BEC have an anomalous dispersion. We then studied the
  interactions between the two parts of the system\, and found that the res
 ulting collective excitations obey a deformed quantum statistics\, known a
 s para-Bose statistics. <br/><br/>We characterized geometrically the singl
 e-body state of these excitations\, known to be non-classical\, and found 
 a non-trivial geometric phase. In turn\, the many-body states indicate tha
 t the excitations are in a condensed state. We attempt to characterize thi
 s condensate and discuss its implications towards this system as a quantum
  platform. </p>
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