Correlation-induced steady states and limit cycles in driven dissipative quantum systems

• URL: http://arxiv.org/abs/2001.05474v2
• Date: Fri, 24 Jul 2020 14:10:31 GMT
• Title: Correlation-induced steady states and limit cycles in driven dissipative quantum systems
• Authors: Haggai Landa, Marco Schir\'o, Gr\'egoire Misguich
• Abstract summary: We study a driven-dissipative model of spins one-half (qubits) on a lattice with nearest-neighbor interactions. We characterize the spatial structure of the correlations in the steady state, as well as their temporal dynamics.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study a driven-dissipative model of spins one-half (qubits) on a lattice with nearest-neighbor interactions. Focusing on the role of spatially extended spin-spin correlations in determining the phases of the system, we characterize the spatial structure of the correlations in the steady state, as well as their temporal dynamics. In dimension one we use essentially exact matrix-product-operator simulations on large systems, and pushing these calculations to dimension two, we obtain accurate results on small cylinders. We also employ an approximation scheme based on solving the dynamics of the mean field dressed by the feedback of quantum fluctuations at leading order. This approach allows us to study the effect of correlations in large lattices with over one hundred thousand spins, as the spatial dimension is increased up to five. In dimension two and higher we find two new states that are stabilized by quantum correlations and do not exist in the mean-field limit of the model. One of these is a steady state with mean magnetization values that lie between the two bistable mean-field values, and whose correlation functions have properties reminiscent of both. The correlation length of the new phase diverges at a critical point, beyond which we find emerging a new limit cycle state with the magnetization and correlators oscillating periodically in time.

Related papers

• Evolution of many-body systems under ancilla quantum measurements [58.720142291102135]
  We study the concept of implementing quantum measurements by coupling a many-body lattice system to an ancillary degree of freedom. We find evidence of a disentangling-entangling measurement-induced transition as was previously observed in more abstract models.
  arXiv  Detail & Related papers  (2023-03-13T13:06:40Z)
• Dynamics of correlation spreading in low-dimensional transverse-field Ising models [0.0]
  We investigate the dynamical spreading of correlations after a quantum quench starting from a magnetically disordered state in the transverse-field Ising model at one (1D) and two spatial dimensions (2D) We analyze specifically the longitudinal and transverse spin-spin correlation functions at equal time with use of several methods. Our findings provide useful benchmarks for quantum simulation experiments of correlation spreading and theoretical refinement of the Lieb-Robinson bound in the future.
  arXiv  Detail & Related papers  (2023-01-04T02:02:21Z)
• Slow semiclassical dynamics of a two-dimensional Hubbard model in disorder-free potentials [77.34726150561087]
  We show that introduction of harmonic and spin-dependent linear potentials sufficiently validates fTWA for longer times. In particular, we focus on a finite two-dimensional system and show that at intermediate linear potential strength, the addition of a harmonic potential and spin dependence of the tilt, results in subdiffusive dynamics.
  arXiv  Detail & Related papers  (2022-10-03T16:51:25Z)
• Probing dynamics of a two-dimensional dipolar spin ensemble using single qubit sensor [62.997667081978825]
  We experimentally investigate individual spin dynamics in a two-dimensional ensemble of electron spins on the surface of a diamond crystal. We show that this anomalously slow relaxation rate is due to the presence of strong dynamical disorder. Our work paves the way towards microscopic study and control of quantum thermalization in strongly interacting disordered spin ensembles.
  arXiv  Detail & Related papers  (2022-07-21T18:00:17Z)
• Quantum chaos and thermalization in the two-mode Dicke model [77.34726150561087]
  We discuss the onset of quantum chaos and thermalization in the two-mode Dicke model. The two-mode Dicke model exhibits normal to superradiant quantum phase transition. We show that the temporal fluctuations of the expectation value of the collective spin observable around its average are small and decrease with the effective system size.
  arXiv  Detail & Related papers  (2022-07-08T11:16:29Z)
• Exact dynamics in dual-unitary quantum circuits with projective measurements [0.0]
  We introduce a class of models combining dual-unitary circuits with particular projective measurements. We identify a symmetry preventing a measurement-induced phase transition and present exact results.
  arXiv  Detail & Related papers  (2022-06-30T18:00:04Z)
• Photoinduced prethermal order parameter dynamics in the two-dimensional large-$N$ Hubbard-Heisenberg model [77.34726150561087]
  We study the microscopic dynamics of competing ordered phases in a two-dimensional correlated electron model. We simulate the light-induced transition between two competing phases.
  arXiv  Detail & Related papers  (2022-05-13T13:13:31Z)
• Quantum coherence, correlations and nonclassical states in the two-qubit Rabi model with parametric oscillator [0.0]
  Quantum coherence and quantum correlations are studied in a strongly interacting system composed of two qubits and a parametric medium. We employ the adiabatic approximation approach to analytically solve the system. The reconstructed states are observed to be nearly pure generalized Bell states.
  arXiv  Detail & Related papers  (2021-06-12T11:16:40Z)
• Dynamical phase transitions in quantum spin models with antiferromagnetic long-range interactions [0.0]
  Anomalous cusps in the return rate are ubiquitous at small quenches within the ordered phase in the case of ferromagnetic long-range interactions. For quenches across the quantum critical point, textitregular cusps appear in the return rate and connect to the local order parameter changing sign.
  arXiv  Detail & Related papers  (2021-06-09T18:00:01Z)
• Continuous and time-discrete non-Markovian system-reservoir interactions: Dissipative coherent quantum feedback in Liouville space [62.997667081978825]
  We investigate a quantum system simultaneously exposed to two structured reservoirs. We employ a numerically exact quasi-2D tensor network combining both diagonal and off-diagonal system-reservoir interactions with a twofold memory for continuous and discrete retardation effects. As a possible example, we study the non-Markovian interplay between discrete photonic feedback and structured acoustic phononovian modes, resulting in emerging inter-reservoir correlations and long-living population trapping within an initially-excited two-level system.
  arXiv  Detail & Related papers  (2020-11-10T12:38:35Z)
• Discrete truncated Wigner approach to dynamical phase transitions in Ising models after a quantum quench [0.0]
  We study dynamical phase transitions arising in the steady state of transverse-field Ising models after a quantum quench. We find identical exponents for $alpha lesssim 0.5$, suggesting that the dynamical transitions in this regime fall into the same universality class as the nonergodic mean-field limit.
  arXiv  Detail & Related papers  (2020-04-21T08:20:15Z)

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.