Quantum coherence of spin-boson model at finite temperature

Wu, Wei; Xu, Jing‐Bo

doi:10.1016/j.aop.2017.01.014

Cited by 14 publications

(10 citation statements)

References 31 publications

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“…There is no rigorous solution for the spin-boson model beyond the rotating-wave approximation. In this case, we compare our numerical results with the perturbative results obtained by the generalized Silbey-Harris transformation [14,16,61,62].…”

Section: Resultsmentioning

confidence: 99%

“…We compare our numerical results with some well-known results. Three important quantum dissipative models are considered as the illustrative examples in this section, namely the pure dephasing model in a finite-temperature bath [58,59], the spontaneous decay of a two-level atom in a vacuum [60] and the famous spin-boson model without the rotating-wave approximation [14,16,60]. The dephasing model and the spontaneous decay model can be exactly solved and have many useful applications in quantum information and quantum optics fields [58][59][60].…”

Section: Resultsmentioning

confidence: 99%

“…The second example in this subsection is the spin-boson model without the rotating-wave approximation, i.e., Ĥs = − 1 2 ∆σ x and Ŝ = 1 2 σz . Generally, there is no exact dynamical result in this case, however, the spin-boson model can be approximately handled by making use of the generalized Silbey-Harris transformation [14,16,61,62] or the Wigner-Weisskopf approach [16,61,62]. Although these two methods neglect the higher-order terms of the systembath coupling strength, it is still acceptable when the system-bath coupling is not too strong [16,64].…”

Section: B Zero-temperature Bath Casementioning

confidence: 99%

“…For instance, the spin-boson model and its extensions have been used to investigate the optical spectroscopy of molecular aggregates [10,11] and the electron energy transfer dynamics in the Fenna-Matthews-Olson complex [12,13]. The reduced system dynamics of the spinboson model has been studied by various analytical and numerical methods, such as, the generalized Silbey-Harris transformation approach [14][15][16], the time-dependent numerical renormalization-group technique [17,18], the Dirac-Frenkel time-dependent variation scheme [19], the non-Markovian quantum state diffusion (NMQSD) method [20][21][22] and the stochastic decoupling (SD) formalism [23][24][25]. Each method has its own regimes of validity depending on the system-bath coupling strength, the bath temperature, and the bath spectral density function.…”

Section: Introductionmentioning

confidence: 99%

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Realization of hierarchical equations of motion from stochastic perspectives

2018

Phys. Rev. A

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The hierarchical equations of motion (HEOM) for a generalized quantum dissipative system is rigorously constructed in the frameworks of two different stochastic dynamical descriptions, i.e., the non-Markovian quantum state diffusion approach as well as the stochastic decoupling scheme. We demonstrated that the HEOMs obtained by these two different stochastic dynamical methods are identical. Moreover, we present some numerical examples to verify the feasibility of our formalism.

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: B Zero-temperature Bath Casementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Realization of hierarchical equations of motion from stochastic perspectives

2018

Phys. Rev. A

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“…It has also been used to study spontaneous emission in quantum optics [12], semiconducting quantum dots in nanocavities [13], trapped ions [14], quantum heat engines [15], and superconducting circuits [16]. The ground-state and dynamic properties of SBM have been extensively and persistently investigated with analytical and numerical approaches [17,18,19,20,21,22]. In particular, the localized-delocalized ground-state transition and coherentincoherent dynamic transition have been detected with the increase of the system-environment coupling [5,4,23].…”

Section: Introductionmentioning

confidence: 99%

Quantum criticality of the Ohmic spin-boson model in a high dense spectrum: symmetries,quantum fluctuations and correlations

Qian,

Zeng,

Zhou

2021

Preprint

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Study of dissipative quantum phase transitions in the Ohmic spin-boson model is numerically challenging in a dense limit of environmental modes. In this work, large-scale numerical simulations are carried out based on the variational principle. The validity of variational calculations, spontaneous breakdown of symmetries, and quantum fluctuations and correlations in the Ohmic bath are carefully analyzed, and the critical coupling as well as exponents are accurately determined in the weak tunneling and continuum limits. In addition, quantum criticality of the Ohmic bath is uncovered both in the delocalized phase and at the transition point.

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Quantum Logic Gates Based on DNAtronics, RNAtronics, and Proteintronics

Sheu

Hsu

Yang

2021

Advanced Intelligent Systems

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A quantum computer (QC) [1][2][3] implements quantum bits (qubits) and qudits [4] (e.g., qutrits [5] and ququarts [6] ) to conduct computations instead of a traditional digital computer built from a transistor in which a binary bit is represented by either 1 or 0. Based on the Church-Turing-Deutch principle, a computing machine conducts simulations of every physical process and behaves as a universal QC. [7][8][9] Unlike a classical bit, the basic unit of a qubit is the superposition c 0 j0i þ c 1 j1i of two qubit states, j0i and j1i, where c 0 and c 1 denote complex numbers. [10] However, the operation of a QC with a relatively large number of qubits for conducting universal computations has attracted considerable attention. [11] Using quantum algorithms such as Shor's algorithm, [12] a quantum many-body simulation [10] and Simon's algorithm, [13] a large-scale QC could tackle problems faster than a classical computer. Until now, present quantum algorithms have been implemented by superconducting flux qubits (D-wave systems), [14] nuclear magnetic resonance (NMR) techniques, [15,16] photonic QCs, [17] and ion-trap systems. [18,19] For NMR techniques, Shor's factorizing algorithm, [20] which uses seven qubits, has been applied. The qubits are encoded in mixed states, and the output is a result of an ensemble measurement. Hence, NMR QCs are not scalable. [21] For a trapped-ion QC, the qubits are stored in the electronic states of ions and are controllable in long-lived internal states, and their quantum states can be detected with a very high efficiency close to 100%. [19,22,23] These characteristics permit the manipulation of pure states to build a scalable and universal QC. [24] Nevertheless, no quantum logic gate has been executed with a subnano-scaled molecular transistor to date.Classical computers operate with a microprocessor that consists of semiconductor logic gates with electronic input and output signals of a binary digital nature. The output can be only one of the two states, on or off, corresponding to logic 1 or 0, respectively. Consequently, the signal pattern can be described by a truth table based on Boolean algebra. [25] This critical feature in constructing computers could be conducted by a single-molecule transistor as a future classical computer. [26,27] However, accomplishing concerted arrays of molecular transistors remains an intrinsic challenge. [28,29] Recently, several experiments have shown the feasibility of conducting computations at the molecular level. For example, DNA is a reliable biomolecule and can be used to build molecular computation systems; however, it was used as a classical liquid computer to solve the Hamiltonian path problem. [30] DNA-based logic gates [25,31] have been designed by deoxyribozyme ligases. [32,33] It is possible to integrate the logic gates into simple circuits using a series of deoxyribozyme ligases communicating via a deoxyribozyme phosphodiesterase. [28] Meanwhile, NOT and two-input AND gates were integrated into an INHIBIT logic gate, and signal trans...

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Quantum coherence of spin-boson model at finite temperature

Cited by 14 publications

References 31 publications

Realization of hierarchical equations of motion from stochastic perspectives

Realization of hierarchical equations of motion from stochastic perspectives

Quantum criticality of the Ohmic spin-boson model in a high dense spectrum: symmetries,quantum fluctuations and correlations

Quantum Logic Gates Based on DNAtronics, RNAtronics, and Proteintronics

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