Linear-scale simulations of quench dynamics

• URL: http://arxiv.org/abs/2311.09556v2
• Date: Tue, 6 Feb 2024 07:12:03 GMT
• Title: Linear-scale simulations of quench dynamics
• Authors: Niaz Ali Khan, Wen Chen, Munsif Jan, and Gao Xianlong
• Abstract summary: We develop a linear-scale computational simulation technique for the non-equilibrium dynamics of quantum quench systems. An expansion-based method allows us to efficiently compute the Loschmidt echo for infinitely large systems. We observe wave vector-independent dynamical phase transitions in self-dual localization models.
• Score: 2.7615495205203318
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The accurate description and robust computational modeling of the nonequilibrium properties of quantum systems remain a challenge in condensed matter physics. In this work, we develop a linear-scale computational simulation technique for the non-equilibrium dynamics of quantum quench systems. In particular, we report a polynomial-expansion of the Loschmidt echo to describe the dynamical quantum phase transitions of noninteracting quantum quench systems. An expansion-based method allows us to efficiently compute the Loschmidt echo for infinitely large systems without diagonalizing the system Hamiltonian. To demonstrate its utility, we highlight quantum quenching dynamics under tight-binding quasicrystals and disordered lattices in one spatial dimension. In addition, the role of the wave vector on the quench dynamics under lattice models is addressed. We observe wave vector-independent dynamical phase transitions in self-dual localization models.

Related papers

• Truncated Gaussian basis approach for simulating many-body dynamics [0.0]
  The approach constructs an effective Hamiltonian within a reduced subspace, spanned by fermionic Gaussian states, and diagonalizes it to obtain approximate eigenstates and eigenenergies. Symmetries can be exploited to perform parallel computation, enabling to simulate systems with much larger sizes. For quench dynamics we observe that time-evolving wave functions in the truncated subspace facilitates the simulation of long-time dynamics.
  arXiv  Detail & Related papers  (2024-10-05T15:47:01Z)
• Emergence of fluctuating hydrodynamics in chaotic quantum systems [47.187609203210705]
  macroscopic fluctuation theory (MFT) was recently developed to model the hydrodynamics of fluctuations. We perform large-scale quantum simulations that monitor the full counting statistics of particle-number fluctuations in boson ladders. Our results suggest that large-scale fluctuations of isolated quantum systems display emergent hydrodynamic behavior.
  arXiv  Detail & Related papers  (2023-06-20T11:26:30Z)
• Universality of critical dynamics with finite entanglement [68.8204255655161]
  We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement. Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
  arXiv  Detail & Related papers  (2023-01-23T19:23:54Z)
• Open quantum dynamics of strongly coupled oscillators with multi-configuration time-dependent Hartree propagation and Markovian quantum jumps [0.0]
  We implement a quantum state trajectory scheme for solving Lindblad quantum master equations. We show the potential for solving the dissipative dynamics of finite size arrays of strongly interacting quantized oscillators with high excitation densities.
  arXiv  Detail & Related papers  (2022-08-02T03:01:14Z)
• Decimation technique for open quantum systems: a case study with driven-dissipative bosonic chains [62.997667081978825]
  Unavoidable coupling of quantum systems to external degrees of freedom leads to dissipative (non-unitary) dynamics. We introduce a method to deal with these systems based on the calculation of (dissipative) lattice Green's function. We illustrate the power of this method with several examples of driven-dissipative bosonic chains of increasing complexity.
  arXiv  Detail & Related papers  (2022-02-15T19:00:09Z)
• Quantum algorithms for quantum dynamics: A performance study on the spin-boson model [68.8204255655161]
  Quantum algorithms for quantum dynamics simulations are traditionally based on implementing a Trotter-approximation of the time-evolution operator. variational quantum algorithms have become an indispensable alternative, enabling small-scale simulations on present-day hardware. We show that, despite providing a clear reduction of quantum gate cost, the variational method in its current implementation is unlikely to lead to a quantum advantage.
  arXiv  Detail & Related papers  (2021-08-09T18:00:05Z)
• Digital quantum simulation of dynamical topological invariants on near-term quantum computers [0.0]
  We simulate the quench dynamics of a one-dimensional system on IBM Q devices. The results show that despite the noise present in the current quantum computers, the dynamical topological invariants are robust. This study sheds light on the robustness of topological phases on the noisy intermediate-scale quantum computers.
  arXiv  Detail & Related papers  (2021-07-25T14:30:30Z)
• The effect of chaos on the simulation of quantum critical phenomena in analog quantum simulators [0.0]
  We study how chaos, introduced by a weak perturbation, affects the reliability of the output of analog quantum simulation. Inspired by the semiclassical behavior of the order parameter in the thermodynamic limit, we propose a protocol to measure the quantum phase transition in the ground state.
  arXiv  Detail & Related papers  (2021-03-03T22:03:43Z)
• 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)
• Characterizing the dynamical phase diagram of the Dicke model via classical and quantum probes [0.0]
  We study the dynamical phase diagram of the Dicke model in both classical and quantum limits. Our numerical calculations demonstrate that mean-field features of the dynamics remain valid in the exact quantum dynamics. Our predictions can be verified in current quantum simulators of the Dicke model including arrays of trapped ions.
  arXiv  Detail & Related papers  (2021-02-03T19:05:56Z)
• Quantum Non-equilibrium Many-Body Spin-Photon Systems [91.3755431537592]
  dissertation concerns the quantum dynamics of strongly-correlated quantum systems in out-of-equilibrium states. Our main results can be summarized in three parts: Signature of Critical Dynamics, Driven Dicke Model as a Test-bed of Ultra-Strong Coupling, and Beyond the Kibble-Zurek Mechanism.
  arXiv  Detail & Related papers  (2020-07-23T19:05:56Z)

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.