Floquet geometric squeezing in fast-rotating condensates

• URL: http://arxiv.org/abs/2501.02764v1
• Date: Mon, 06 Jan 2025 05:15:51 GMT
• Title: Floquet geometric squeezing in fast-rotating condensates
• Authors: Li Chen, Fei Zhu, Yunbo Zhang, Han Pu,
• Abstract summary: We propose a Floquet-based state-preparation protocol by periodically driving an anisotropic potential.<n>This protocol not only facilitates the single cyclotron-mode squeezing, but also enables a two-mode squeezing.<n>Our work provides a highly controllable knob for realizing diverse geometrically squeezed states in ultracold quantum gases.
• Score: 13.776468016223303
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Constructing and manipulating quantum states in fast-rotating Bose-Einstein condensates (BEC) has long stood as a significant challenge as the rotating speed approaching the critical velocity. Although the recent experiment [Science, 372, 1318 (2021)] has realized the geometrically squeezed state of the guiding-center mode, the remaining degree of freedom, the cyclotron mode, remains unsqueezed due to the large energy gap of Landau levels. To overcome this limitation, in this paper, we propose a Floquet-based state-preparation protocol by periodically driving an anisotropic potential. This protocol not only facilitates the single cyclotron-mode squeezing, but also enables a two-mode squeezing. Such two-mode squeezing offers a richer set of dynamics compared to single-mode squeezing and can achieve wavepacket width well below the lowest Landau level limit. Our work provides a highly controllable knob for realizing diverse geometrically squeezed states in ultracold quantum gases within the quantum Hall regime.

Related papers

• Propagating Neutral Modes in an Intervalley Coherent State [12.787575611001232]
  We investigate space-and-time-resolved transport of neutral modes in twisted WSe2 moir'e superlattices through a novel ultrafast imaging technique.<n>We uncover two new propagating collective modes with very different velocities, which emerge near the van Hove singularity (VHS) in both intermediate- (3.54 degree) and large-angle (5 degree) twisted WSe2.<n>The fast-propagating mode has a surprisingly large speed of 3 km/s and is consistent with a Goldstone mode for an IVC state, while the slow-moving mode is likely
  arXiv  Detail & Related papers  (2025-07-24T19:39:21Z)
• Unconventional Floquet topological phases in the SSH lattice [36.136619420474766]
  Topological materials, known for their edge states robust against local perturbations, hold promise for next-generation quantum technologies.<n>We propose to use high-frequency monochromatic driving and modulated amplitude pulses to dynamically induce and switch the Floquet topological phases.
  arXiv  Detail & Related papers  (2025-07-22T10:34:58Z)
• Multi-mode NOON states generation with ultracold atoms via geodesic counterdiabatic driving [0.0]
  We present a protocol for the generation of NOON states with ultracold atoms, leveraging the Bose-Hubbard model in the self-trapping regime.<n>By the means of an optimized adiabatic protocol, we achieve a significant reduction in the time required for the preparation of highly entangled NOON states.<n>Our findings pave the way for scalable and precise quantum state control in ultracold atomic systems.
  arXiv  Detail & Related papers  (2025-06-02T17:58:58Z)
• Accelerated creation of NOON states with ultracold atoms via counterdiabatic driving [0.0]
  A quantum control protocol is proposed for the creation of NOON states with $N$ ultracold bosonic atoms on two modes. This state can be prepared by using a third mode where all bosons are initially placed and which is symmetrically coupled to the two other modes. tuning the energy of this third mode across the energy level of the other modes allows the adiabatic creation of the NOON state.
  arXiv  Detail & Related papers  (2024-06-25T13:32:42Z)
• Counterdiabatic Driving for Periodically Driven Systems [0.0]
  Periodically driven systems have emerged as a useful technique to engineer the properties of quantum systems. We develop a technique to capture nonperturbative photon resonances and obtain high-fidelity protocols.
  arXiv  Detail & Related papers  (2023-10-04T11:08:19Z)
• Dicke State Generation and Extreme Spin Squeezing via Rapid Adiabatic Passage [0.0]
  We propose a rapid adiabatic passage scheme on the Dicke state basis. The method permits to drive Dicke states of the many-atom system into entangled states with maximum quantum Fisher information.
  arXiv  Detail & Related papers  (2023-06-05T19:02:11Z)
• Quantum emulation of the transient dynamics in the multistate Landau-Zener model [50.591267188664666]
  We study the transient dynamics in the multistate Landau-Zener model as a function of the Landau-Zener velocity. Our experiments pave the way for more complex simulations with qubits coupled to an engineered bosonic mode spectrum.
  arXiv  Detail & Related papers  (2022-11-26T15:04:11Z)
• Pulsed multireservoir engineering for a trapped ion with applications to state synthesis and quantum Otto cycles [68.8204255655161]
  Reservoir engineering is a remarkable task that takes dissipation and decoherence as tools rather than impediments. We develop a collisional model to implement reservoir engineering for the one-dimensional harmonic motion of a trapped ion. Having multiple internal levels, we show that multiple reservoirs can be engineered, allowing for more efficient synthesis of well-known non-classical states of motion.
  arXiv  Detail & Related papers  (2021-11-26T08:32:39Z)
• Engineering, control and longitudinal readout of Floquet qubits [105.9098786966493]
  Time-periodic Hamiltonians can be exploited to increase the dephasing time of qubits and to design protected one and two-qubit gates. Here, we use the framework of many-mode Floquet theory to describe approaches to robustly control Floquet qubits in the presence of multiple drive tones. Following the same approach, we introduce a longitudinal readout protocol to measure the Floquet qubit without the need of first adiabatically mapping back the Floquet states to the static qubit states.
  arXiv  Detail & Related papers  (2021-08-25T14:35:02Z)
• Superposition of two-mode squeezed states for quantum information processing and quantum sensing [55.41644538483948]
  We investigate superpositions of two-mode squeezed states (TMSSs) TMSSs have potential applications to quantum information processing and quantum sensing.
  arXiv  Detail & Related papers  (2021-02-01T18:09:01Z)
• Engineering multipartite entangled states in doubly pumped parametric down-conversion processes [68.8204255655161]
  We investigate the quantum state generated by optical parametric down-conversion in a $chi(2) $ medium driven by two modes. The analysis shows the emergence of multipartite, namely 3- or 4-partite, entangled states in a subset of the modes generated by the process.
  arXiv  Detail & Related papers  (2020-07-23T13:53:12Z)
• Limit Cycle Phase and Goldstone Mode in Driven Dissipative Systems [0.0]
  We investigate the first- and second-order quantum dissipative phase transitions of a three-mode cavity with a Hubbard interaction. Our theoretical predictions suggest that interacting multimode photonic systems are rich, versatile testbeds for investigating the crossovers between the mean-field picture and quantum phase transitions.
  arXiv  Detail & Related papers  (2020-07-21T09:37:18Z)
• Zitterbewegung and Klein-tunneling phenomena for transient quantum waves [77.34726150561087]
  We show that the Zitterbewegung effect manifests itself as a series of quantum beats of the particle density in the long-time limit. We also find a time-domain where the particle density of the point source is governed by the propagation of a main wavefront. The relative positions of these wavefronts are used to investigate the time-delay of quantum waves in the Klein-tunneling regime.
  arXiv  Detail & Related papers  (2020-03-09T21:27:02Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.