Recovering quantum correlations in optical lattices from interaction quenches

• URL: http://arxiv.org/abs/2005.09000v2
• Date: Sun, 28 Mar 2021 06:08:13 GMT
• Title: Recovering quantum correlations in optical lattices from interaction quenches
• Authors: M. Gluza, J. Eisert
• Abstract summary: Quantum simulations with ultra-cold atoms in optical lattices open up an exciting path towards understanding strongly interacting quantum systems. Currently a direct measurement of local coherent currents is out of reach. We show how to achieve that by measuring densities that are altered in response to quenches to non-interacting dynamics.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum simulations with ultra-cold atoms in optical lattices open up an exciting path towards understanding strongly interacting quantum systems. Atom gas microscopes are crucial for this as they offer single-site density resolution, unparalleled in other quantum many-body systems. However, currently a direct measurement of local coherent currents is out of reach. In this work, we show how to achieve that by measuring densities that are altered in response to quenches to non-interacting dynamics, e.g., after tilting the optical lattice. For this, we establish a data analysis method solving the closed set of equations relating tunnelling currents and atom number dynamics, allowing to reliably recover the full covariance matrix, including off-diagonal terms representing coherent currents. The signal processing builds upon semi-definite optimization, providing bona fide covariance matrices optimally matching the observed data. We demonstrate how the obtained information about non-commuting observables allows to lower bound entanglement at finite temperature which opens up the possibility to study quantum correlations in quantum simulations going beyond classical capabilities.

Related papers

• Simulating a quasiparticle on a quantum device [0.0]
  We propose a variational approach to explore quasiparticle excitations in interacting quantum many-body systems. We benchmark the proposed algorithm via numerical simulations performed on the one-dimension transverse field Ising chain. We show that the localized quasiparticle states constructed with VQE contain accessible information on the full band of quasiparticles.
  arXiv  Detail & Related papers  (2024-09-13T05:39:13Z)
• Simulating Chemistry with Fermionic Optical Superlattices [2.7521403951088934]
  We show that quantum number preserving Ans"atze for variational optimization in quantum chemistry find an elegant mapping to ultracold fermions in optical superlattices. Trial ground states for arbitrary molecular Hamiltonians can be prepared and their molecular energies measured in the lattice.
  arXiv  Detail & Related papers  (2024-09-09T14:35:55Z)
• Entanglement Structure of Non-Gaussian States and How to Measure It [0.0]
  We present a protocol that constrains quantum states by experimentally measured correlation functions. This method enables measurement of a quantum state's entanglement structure. We show the protocol's usefulness in conjunction with current and forthcoming experimental capabilities.
  arXiv  Detail & Related papers  (2024-07-16T18:00:01Z)
• Simulating polaritonic ground states on noisy quantum devices [0.0]
  We introduce a general framework for simulating electron-photon coupled systems on small, noisy quantum devices. To achieve chemical accuracy, we exploit various symmetries in qubit reduction methods. We measure two properties: ground-state energy, fundamentally relevant to chemical reactivity, and photon number.
  arXiv  Detail & Related papers  (2023-10-03T14:45:54Z)
• Trapped-Ion Quantum Simulation of Collective Neutrino Oscillations [55.41644538483948]
  We study strategies to simulate the coherent collective oscillations of a system of N neutrinos in the two-flavor approximation using quantum computation. We find that the gate complexity using second order Trotter- Suzuki formulae scales better with system size than with other decomposition methods such as Quantum Signal Processing.
  arXiv  Detail & Related papers  (2022-07-07T09:39:40Z)
• Probing finite-temperature observables in quantum simulators of spin systems with short-time dynamics [62.997667081978825]
  We show how finite-temperature observables can be obtained with an algorithm motivated from the Jarzynski equality. We show that a finite temperature phase transition in the long-range transverse field Ising model can be characterized in trapped ion quantum simulators.
  arXiv  Detail & Related papers  (2022-06-03T18:00:02Z)
• Tuning long-range fermion-mediated interactions in cold-atom quantum simulators [68.8204255655161]
  Engineering long-range interactions in cold-atom quantum simulators can lead to exotic quantum many-body behavior. Here, we propose several tuning knobs, accessible in current experimental platforms, that allow to further control the range and shape of the mediated interactions.
  arXiv  Detail & Related papers  (2022-03-31T13:32:12Z)
• Sampling, rates, and reaction currents through reverse stochastic quantization on quantum computers [0.0]
  We show how to tackle the problem using a suitably quantum computer. We propose a hybrid quantum-classical sampling scheme to escape local minima.
  arXiv  Detail & Related papers  (2021-08-25T18:04:52Z)
• Continuous-time dynamics and error scaling of noisy highly-entangling quantum circuits [58.720142291102135]
  We simulate a noisy quantum Fourier transform processor with up to 21 qubits. We take into account microscopic dissipative processes rather than relying on digital error models. We show that depending on the dissipative mechanisms at play, the choice of input state has a strong impact on the performance of the quantum algorithm.
  arXiv  Detail & Related papers  (2021-02-08T14:55:44Z)
• Information Scrambling in Computationally Complex Quantum Circuits [56.22772134614514]
  We experimentally investigate the dynamics of quantum scrambling on a 53-qubit quantum processor. We show that while operator spreading is captured by an efficient classical model, operator entanglement requires exponentially scaled computational resources to simulate.
  arXiv  Detail & Related papers  (2021-01-21T22:18:49Z)
• Evolution of a Non-Hermitian Quantum Single-Molecule Junction at Constant Temperature [62.997667081978825]
  We present a theory for describing non-Hermitian quantum systems embedded in constant-temperature environments. We find that the combined action of probability losses and thermal fluctuations assists quantum transport through the molecular junction.
  arXiv  Detail & Related papers  (2021-01-21T14:33:34Z)

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.